# data[].attributes.body
To find the area of a

cylinder you do

2*3.14*r*h

to find the volume you do

3.14*r^2*h

# data[].attributes.attachment_link.title
Area and Volume Formula for geometrical figures

# data[].attributes.attachment_link.description
Area and Volume Formula for geometrical figures - square, rectangle, triangle, polygon, circle, ellipse, trapezoid, cube, sphere, cylinder and cone.

# data[].attributes.attachment_link.readable_text
In math (especially geometry) and science, you will often need to calculate the surface area, volume, or perimeter of a variety of shapes. Whether it's a sphere or a circle, a rectangle or a cube, a pyramid or a triangle, each shape has specific formulas that you must follow to get the correct measurements.

We're going to examine the formulas you will need to figure out the surface area and volume of three-dimensional shapes as well as the area and perimeter of two-dimensional shapes. You can study this lesson to learn each formula, then keep it around for a quick reference next time you need it. The good news is that each formula uses many of the same basic measurements, so learning each new one gets a little easier.

A cone is a pyramid with a circular base that has sloping sides which meet at a central point. In order to calculate its surface area or volume, you must know the radius of the base and the length of the side.

If you do not know it, you can find the side length ( s) using the radius ( r) and the cone's height ( h).

With that, you can then find the total surface area, which is the sum of the area of the base and area of the side.

To find the volume of a sphere, you only need the radius and the height.

A pyramid with a square base and faces made of equilateral triangles is relatively easy to work with.

You will need to know the measurement for one length of the base ( b). The height ( h) is the distance from the base to the center point of the pyramid. The side ( s) is the length of one face of the pyramid, from the base to the top point.

Another way to calculate this is to use the perimeter ( P) and the area ( A) of the base shape. This can be used on a pyramid that has a rectangular rather than a square base.

When you switch from a pyramid to an isosceles triangular prism, you must also factor in the length ( l) of the shape. Remember the abbreviations for base ( b), height ( h), and side ( s) because they are needed for these calculations.

Yet, a prism can be any stack of shapes. If you have to determine the area or volume of an odd prism, you can rely on the area ( A) and the perimeter ( P) of the base shape. Many times, this formula will use the height of the prism, or depth ( d), rather than the length ( l), though you may see either abbreviation.

An ellipse is also called an oval and it is, essentially, an elongated circle. The distances from the center point to the side are not constant, which does make the formula for finding its area a little tricky.

To use this formula, you must know:

The sum of these two points does remain constant. That is why we can use the following formula to calculate the area of any ellipse.

On occasion, you may see this formula written with (radius 1 or semiminor axis) and (radius 2 or semimajor axis) rather than a and b.

The triangle is one of the simplest shapes and calculating the perimeter of this three-sided form is rather easy. You will need to know the lengths of all three sides ( a, b, c) to measure the full perimeter.

To find out the triangle's area, you will need only the length of the base ( b) and the height ( h), which is measured from the base to the peak of the triangle. This formula works for any triangle, no matter if the sides are equal or not.

Similar to a sphere, you will need to know the radius ( r) of a circle to find out its diameter ( d) and circumference ( c). Keep in mind that a circle is an ellipse that has an equal distance from the center point to every side (the radius), so it does not matter where on the edge you measure to.

These two measurements are used in a formula to calculate the circle's area. It's also important to remember that the ratio between a circle's circumference and its diameter is equal to pi ( π).

The parallelogram has two sets of opposite sides that run parallel to one another. The shape is a quadrangle, so it has four sides: two sides of one length ( a) and two sides of another length ( b).

To find out the perimeter of any parallelogram, use this simple formula:

When you need to find the area of a parallelogram, you will need the height ( h). This is the distance between two parallel sides. The base ( b) is also required and this is the length of one of the sides.

Keep in mind that the b in the area formula is not the same as the b in the perimeter formula. You can use any of the sides-which were paired as a and b when calculating perimeter-though most often we use a side that is perpendicular to the height.

The rectangle is also a quadrangle. Unlike the parallelogram, the interior angles are always equal to 90 degrees. Also, the sides opposite one another will always measure the same length.

To use the formulas for perimeter and area, you will need to measure the rectangle's length ( l) and its width ( w).

The square is even easier than the rectangle because it is a rectangle with four equal sides. That means you only need to know the length of one side ( s) in order to find its perimeter and area.

The trapezoid is a quadrangle that can look like a challenge, but it's actually quite easy. For this shape, only two sides are parallel to one another, though all four sides can be of different lengths. This means that you will need to know the length of each side ( a, b₁, b₂, c) to find a trapezoid's perimeter.

To find the area of a trapezoid, you will also need the height ( h). This is the distance between the two parallel sides.

A six-sided polygon with equal sides is a regular hexagon. The length of each side is equal to the radius ( r). While it may seem like a complicated shape, calculating the perimeter is a simple matter of multiplying the radius by the six sides.

Figuring out the area of a hexagon is a little more difficult and you will have to memorize this formula:

A regular octagon is similar to a hexagon, though this polygon has eight equal sides. To find the perimeter and area of this shape, you will need the length of one side ( a).

# data[].attributes.attachment_link.title
Surface Area and Volume Formulas for Geometric Shapes

# data[].attributes.attachment_link.description
In math (especially geometry) and science, you will often need to calculate the surface area, volume, or perimeter of a variety of shapes. Whether it's a sphere or a circle, a rectangle or a cube, a pyramid or a triangle, each shape has specific formulas that you must follow to get the correct measurements.

# data[].attributes.body
area

# data[].attributes.attachment_link.title
Minecraft Math - Surface Area of Rectangular Prisms.

# data[].attributes.attachment_link.description
I teach Surface Area...in MINECRAFT! Music at the End: Omegah - Watermelon http://youtube.com/watch/?v=t3PyZGTqRZE

# data[].attributes.body
SUFACE AREA: 4*3.14*R^2

volume: (4/3)*3.14*10^3

# data[].attributes.body
To find the perimeter of a trapezoid you just add up all the sides. To find the area of a trapezoid you use these two formula's A= (a+b)h/2 or A=1/2 (a+b) h.

# data[].attributes.attachment_link.readable_text
Circle: Circumference and Surface Area

The circle's circumference -- the measure of the total length around the shape -- is determined based on the fixed ratio of Pi. In degrees, a circle is equal to 360° and Pi (p) is the fixed ratio equal to 3.14.

The perimeter of a circle can be determined one of two ways:

wherein C - circumference, d = diameter, r i= radius (which is half of the diameter), and p = Pi, which equals 3.1415926.

Use Pi to find the perimeter of a circle. Pi is the ratio of a circle's circumference to it's diameter. If the diameter is 1, the circumference is pi.

For the measurement of the area of a circle, simply multiply the radius squared by Pi, expressed as A = pr2.

# data[].attributes.attachment_link.title
Determining Areas and Perimeters of Polygons

# data[].attributes.attachment_link.description
The circle's circumference -- the measure of the total length around the shape -- is determined based on the fixed ratio of Pi. In degrees, a circle is equal to 360° and Pi (p) is the fixed ratio equal to 3.14.

# data[].attributes.body
Volume and area

# data[].attributes.attachment_link.description
Example: if you blow up a balloon it naturally forms a sphere because it is trying to hold as much air as possible with as small a surface as possible. Press the Play button to see.

# data[].attributes.body
surface area : a=2(wh+hw+lh)

VOLUME: l*w*H

http://math.about.com/od/formulas/ss/surfaceareavol_4.htm

# data[].attributes.body
cubes are used in everyday

life by little kids toys

that they play with a box

or (cube) tv is a cube that is

used and also a dice is used in

everyday life

# data[].attributes.body
Find area and perimeter

of rectangle.

# data[].attributes.body
to find the perimeter of

a parallelogram you do

Side1+Side1+Side2+Side2=perimeter

to find the area of a parrallelogram

you do Side1*Side1*Side2*Side2=area

# data[].attributes.attachment_link.title
Perimeter of a parallelogram - Math Open Reference

# data[].attributes.attachment_link.description
Formula and description of the perimeter of a parallelogram.

# data[].attributes.body
To find the perimeter of a triangle

you multiply the base times the height

and because it is a triangle you have to

make a line in the middle of the triangle

to measure the height. To find the area of a triangle you do 1/2 of the base times the height.

# data[].attributes.attachment_link.readable_text
In math (especially geometry) and science, you will often need to calculate the surface area, volume, or perimeter of a variety of shapes. Whether it's a sphere or a circle, a rectangle or a cube, a pyramid or a triangle, each shape has specific formulas that you must follow to get the correct measurements.

We're going to examine the formulas you will need to figure out the surface area and volume of three-dimensional shapes as well as the area and perimeter of two-dimensional shapes. You can study this lesson to learn each formula, then keep it around for a quick reference next time you need it. The good news is that each formula uses many of the same basic measurements, so learning each new one gets a little easier.

A cone is a pyramid with a circular base that has sloping sides which meet at a central point. In order to calculate its surface area or volume, you must know the radius of the base and the length of the side.

If you do not know it, you can find the side length ( s) using the radius ( r) and the cone's height ( h).

With that, you can then find the total surface area, which is the sum of the area of the base and area of the side.

To find the volume of a sphere, you only need the radius and the height.

An ellipse is also called an oval and it is, essentially, an elongated circle. The distances from the center point to the side are not constant, which does make the formula for finding its area a little tricky.

To use this formula, you must know:

The sum of these two points does remain constant. That is why we can use the following formula to calculate the area of any ellipse.

On occasion, you may see this formula written with (radius 1 or semiminor axis) and (radius 2 or semimajor axis) rather than a and b.

The trapezoid is a quadrangle that can look like a challenge, but it's actually quite easy. For this shape, only two sides are parallel to one another, though all four sides can be of different lengths. This means that you will need to know the length of each side ( a, b₁, b₂, c) to find a trapezoid's perimeter.

To find the area of a trapezoid, you will also need the height ( h). This is the distance between the two parallel sides.

# data[].attributes.attachment_link.title
Surface Area and Volume Formulas for Geometric Shapes

# data[].attributes.attachment_link.description
In math (especially geometry) and science, you will often need to calculate the surface area, volume, or perimeter of a variety of shapes. Whether it's a sphere or a circle, a rectangle or a cube, a pyramid or a triangle, each shape has specific formulas that you must follow to get the correct measurements.

# data[].attributes.body
AREA:multiply 2 sides to find area or X to the 2

PERIMETER:add up the the lengths of the sides or 4x

http://www.coolmath.com/reference/squares.html

# data[].attributes.attachment_link.description
An object shaped like a cone is said to be conical

# data[].attributes.body
finding the perimeter of a circle

you do C=3.14*d

or C=2(3.14)d

to find the area of a circle

you do (3.14)r^2

D=diameter

C=circumfernce

# data[].attributes.body
How to use the cylinder.

# data[].attributes.attachment_link.title
I am a parallelogram by Peter Weatherall

# data[].attributes.attachment_link.readable_text
Rectangles can be seen all over the place in everyday life.

From the letterbox that your mail comes through to the kitchen table you eat your breakfast on - the rectangle is a pretty common (and important) shape.

Uses of rectangles
As defined by Euclidean geometry, a rectangle is a 4-sided shape with 4 right angles.

At a glance, rectangles are pretty much everywhere in our lives.

However, in real-life, even a piece of paper has three dimensions, and is therefore more accurately described as a rectangular prism.

Pedantry aside, you can find a million and one different uses for rectangles in everyday life.

For example:

Computer screen.

Boxes.

Paper.

Mouse pad.

TV Screen - The dimensions of images are more accurately displayed in a rectangular shape.

Books- A rectangular shaped book is easier to hold and flick through.

Dollar bills

Toast - wouldn't fit into a toaster unless it was a rectangle (although this begs the question 'what came first, the toast or the toaster?').

A football field.

What other rectangular shapes can you think of?

# data[].attributes.attachment_link.title
How Are Rectangles Used In Everyday Life?

# data[].attributes.attachment_link.description
Answer (1 of 7): Rectangles can be seen all over the place in everyday life.

# data[].attributes.body
What happens in a circle.

# data[].attributes.attachment_link.title
Arcs and Angles in Circles 8th Grade Math

# data[].attributes.body
You can only find the volume and surface area. To find the volume you use the formula V=1/3 3.14 r to the power of 2 h

# data[].attributes.attachment_link.title
Mr. v teaching math - Measurement Lesson 15c Volume of Cones

# data[].attributes.body
How to find volume of a cube

# data[].attributes.attachment_link.description
Check out Bas Rutten's Liver Shot on MMA Surge: http://bit.ly/MMASurgeEp1 Mahalo math expert Allison Moffett shows you how to calculate the volume of a cube. Step 1: Finding the Volume of a Rectangular Prism --------------------------------------------------------------------- A cube can also be described as a rectangular prism with edges of equal size.

# data[].attributes.body
Quick facts about the cube.

# data[].attributes.attachment_link.description
A cube is also a hexahedron because it is a polyhedron with 6 ( hexa- means 6) faces.

# data[].attributes.attachment_link.description
Download the Shape Videos: http://havefunteaching.com/videos/shape-videos/ Download the Shape Songs: http://havefunteaching.com/songs/shape-songs/ The Trapezoid Song Video is a Shape Song Video that teaches the Trapezoid. These Shape Videos teach the Shape Names, Geometry Skills, Math Vocabulary, Shape Recognition, and use Audio, Visual, and Kinesthetic Learning.

# data[].attributes.attachment_link.readable_text
Sphere Facts

Check out our sphere facts and learn some interesting information about spheres, the three dimensional polyhedron shaped like a ball. Find out what a hemisphere is, what makes spheres special and learn some formulas to help you find the area and volume of a sphere.

Read on and enjoy our sphere facts and trivia before taking a look at all our other interesting information devoted to the wonderful world of geometry.

A sphere is a perfectly round three dimensional shape similar to a round ball you might play soccer or basketball with.

All points on the surface of a sphere are the same distance from the center.

A sphere is perfectly symmetrical around its center.

The distance from the center of a sphere to its surface is called the radius.

The maximum distance through the sphere is called the diameter, it is twice the size of the radius.

The value of Pi (π) to 2 decimal places is 3.14, it comes in handy when working out the volume and surface area of a sphere.

To find the volume of a sphere you can use the following formula: Volume = 4/3 π r³
In an easier to read form: Volume = 4/3 * Pi * r * r * r

To find the surface area of a sphere you can use the following formula: Area = 4 π r²
In an easier to read form: Area = 4 * Pi * r * r

Sometimes a sphere is given a north and south pole (found on opposite sides of the surface).

An equator is a circle that is the same distance from the north and south poles.

A sphere can be divided into two equal hemispheres by a flat two dimensional surface (plane) that passes through the center.

The words north pole, south pole, equator and hemispheres are often used when talking about planet Earth even though it isn't really a sphere, it's more like a flattened sphere (oblate spheroid).

Now that you're an expert on spheres, try learning about 3D polyhedron shapes.

# data[].attributes.attachment_link.title
Sphere Facts - Interesting Information about Spheres

# data[].attributes.attachment_link.description
Sphere Facts Check out our sphere facts and learn some interesting information about spheres, the three dimensional polyhedron shaped like a ball. Find out what a hemisphere is, what makes spheres special and learn some formulas to help you find the area and volume of a sphere.

# data[].attributes.attachment_link.description
Definition and examples of a trapezoid. This geometry lesson explains that a trapezoid has four sides, with two of them being parallel.

# data[].attributes.attachment_link.readable_text
Pool and Spa Solutions

Pentair is an industry leader in designing advanced pool and spa products and technologies that save energy, maintenance time and conserves water within your home. Our smart innovations lead the industry in variable speed pumps, cleaners, automation, sanitization, heating and pool lighting so that you can enjoy your backyard oasis.

# data[].attributes.attachment_link.description
Whether in your backyard or large venues, Pentair's solutions are engineered to filter, clean and sanitize water to its purest and cleanest state, while automation equipment makes it all easy to control from anywhere in the world so that you can truly enjoy your pool and spa.

# data[].attributes.attachment_link.description
Triangles! My personal website, which you might like: http://vihart.com

# data[].attributes.body
Some quick facts about rectangles

# data[].attributes.attachment_link.title
Find Out Things About Rectangles - WebMath

# data[].attributes.attachment_link.description
Find Out Things About Rectangles - powered by WebMath

# data[].attributes.body
Acute triangles: all three angles

are 90 degrees or less

Obtuse Triangle: all angles are

more than 90 degrees.

# data[].attributes.body
facts

# data[].attributes.attachment_link.readable_text
A cylinder is a circle moved through space to make a solid form. The ends are circles that are in parallel planes, and the sides of the cylinder are the line segments that connect the circumferences of the two circles. Because the circular ends run parallel to each other, the connecting line segments have to be perpendicular to them.

To find the surface area of a cylinder, imagine that you have unrolled the cylinder (like taking the label off a soup can). This unrolled cylinder is shaped like a rectangle, so you can find its area by multiplying the height by the width. Here the width will be the same as the circumference of the circular ends, or 2πr, so the area of the rectangle will be 2πrh. Now you also need to find the area of those circular ends and add it on; 2πr + 2πr + 2πrh.

The volume of a cylinder is even easier; just figure out the area of the circle on the end and multiply it by the height of the cylinder: 2πr2h. That's how much soup your soup can will hold.

Bibliography and further reading about geometry:

Cite this page: Carr, K.E. What is a cylinder? Simple geometry. Quatr.us Study Guides, July 29, 2017. Web. February 28, 2019.
report this ad

# data[].attributes.attachment_link.description
This is a cylinder. What can you find around your house that's a cylinder? A cylinder is a circle moved through space to make a solid form. The ends are circles that are in parallel planes, and the sides of the cylinder are the line

# data[].attributes.attachment_link.readable_text
Sphere Facts

Check out our sphere facts and learn some interesting information about spheres, the three dimensional polyhedron shaped like a ball. Find out what a hemisphere is, what makes spheres special and learn some formulas to help you find the area and volume of a sphere.

Read on and enjoy our sphere facts and trivia before taking a look at all our other interesting information devoted to the wonderful world of geometry.

A sphere is a perfectly round three dimensional shape similar to a round ball you might play soccer or basketball with.

All points on the surface of a sphere are the same distance from the center.

A sphere is perfectly symmetrical around its center.

The distance from the center of a sphere to its surface is called the radius.

The maximum distance through the sphere is called the diameter, it is twice the size of the radius.

The value of Pi (π) to 2 decimal places is 3.14, it comes in handy when working out the volume and surface area of a sphere.

To find the volume of a sphere you can use the following formula: Volume = 4/3 π r³
In an easier to read form: Volume = 4/3 * Pi * r * r * r

To find the surface area of a sphere you can use the following formula: Area = 4 π r²
In an easier to read form: Area = 4 * Pi * r * r

Sometimes a sphere is given a north and south pole (found on opposite sides of the surface).

An equator is a circle that is the same distance from the north and south poles.

A sphere can be divided into two equal hemispheres by a flat two dimensional surface (plane) that passes through the center.

The words north pole, south pole, equator and hemispheres are often used when talking about planet Earth even though it isn't really a sphere, it's more like a flattened sphere (oblate spheroid).

Now that you're an expert on spheres, try learning about 3D polyhedron shapes.

# data[].attributes.attachment_link.title
Sphere Facts - Interesting Information about Spheres

# data[].attributes.attachment_link.description
Sphere Facts Check out our sphere facts and learn some interesting information about spheres, the three dimensional polyhedron shaped like a ball. Find out what a hemisphere is, what makes spheres special and learn some formulas to help you find the area and volume of a sphere.

# data[].attributes.body
facts

# data[].attributes.attachment_link.title
Quadrilateral Facts - Square, Rectangle, Parallelogram, Rhombus & Trapezoid Information

# data[].attributes.attachment_link.description
Check out our quadrilateral facts and learn some interesting information about squares, rectangles, parallelograms, trapezoids, rhombus and more. Find out what they look like and what the differences are between them.

# data[].attributes.body
fun facts

# data[].attributes.attachment_link.description
The perimeter of a geometrical figure is the complete distance around that figure. To find the perimeter, simply add up the lengths of the figure's sides.

# data[].attributes.body
-The distance around a circle

-pi or 3.141592 times the diameter.

# data[].attributes.attachment_link.title
Volume of a Ball in N Dimensions -- Math Fun Facts

# data[].attributes.attachment_link.description
Intuitively, one may think that in higher and higher dimensions there's more and more "room" in the unit ball, allowing its volume to become larger and larger. Does the volume become infinite, or does it approach a sufficiently large constant as the dimension increases?

# data[].attributes.attachment_link.title
Square - math word definition - Math Open Reference

# data[].attributes.attachment_link.description
Definition and properties of a square. Describes how it can be considered a special case of other types of quadrilateral. Links to other related topics, including the area of a square.

# data[].attributes.attachment_link.description
Another most common quadrilateral is a square! A simple and quick explanation is given in this video about square. To view more Educational content, please visit: https://www.youtube.com/appuseriesacademy To view Nursery Rhymes, please visit: https://www.youtube.com/appuseries To view Content in other Languages, please visit: www.youtube.com/appuseries + "Language".

# data[].attributes.body
area is found with almost any thing.

any regular shape that can be

2-dimensional or 3-dimensional

# data[].attributes.body
https://www.youtube.com/watch?v=6ZNChKq4Vu0

# data[].attributes.attachment_link.title
Sir Cumference and the First Round Table

# data[].attributes.body
www.icsm.gov.au

# data[].attributes.body
A closed plane figure

having three sides

and three angles

# data[].attributes.body
www.mathatube.com

# data[].attributes.body
www.mathsisfun.com

# data[].attributes.body
library.thinkquest.org

# data[].attributes.body
www.mathopenref.com

# data[].attributes.body
www.mathwarehouse.com

# data[].attributes.body
www.mathwarehouse.com

# data[].attributes.body
www.eduplace.com

# data[].attributes.body
www.trans4mind.com

# data[].attributes.body
www.grc.nasa.gov

# data[].attributes.body
math.tutorvista.com

# data[].attributes.body
http://dictionary.reference.com/

# data[].attributes.attachment_link.title
Dictionary.com | Meanings & Definitions of English Words

# data[].attributes.attachment_link.description
The world's leading online dictionary: English definitions, synonyms, word origins, example sentences, word games, and more. A trusted authority for 25+ years!

# data[].attributes.body
www.mathwarehouse.com

# data[].attributes.headline
Madison Devan, Ashley Valencia, Kaleb Woods, and Desi Mclaughlin 

# data[].attributes.subject
Madison Devan, Ashley Valencia, Kaleb Woods, and Desi Mclaughlin 

# data[].attributes.body
math.tutorvista.com

# data[].attributes.body
a solid geometric figure generated

by the revolution

of a semicircle about its

diameter; a round body

whose surfaces at all points

equidistant from the center

# data[].attributes.body
In geometry, a cuboid is a convex polyhedron

bounded by six quadrilateral faces, whose polyhedral

graph is the same as that of a cube

# data[].attributes.body
A parallelogram that has four right angles

# data[].attributes.body
A solid whose surface is generated by a line passing

through a fixed plane

curve not containing the point, consisting

of two equal sections joined at a vertex.

# data[].attributes.body
A box shaped solid object
that has six identical square faces

# data[].attributes.body
a rectangle haveing all four

sides of equal length

# data[].attributes.body
A quadrilateral plane figure

having two parallel

and two nonparallel sides.

# data[].attributes.body
a surface or solid bounded by two

parrallel planes

# data[].attributes.body
any particular of space or surface

# data[].attributes.body
The amount of space that a

substance or object

occupies, or that is enclosed

within a container.

# data[].attributes.body
Any three-cornered or three-sided figure,

object, or piece: a triangle of land.

mathworld.wolfram.com

# data[].attributes.body
a quadrilateral have both pairs

of opposite sides parallel to

each other

# data[].attributes.body
a closed plane curve consisting of

all points at a given distance

from a point within it called the

center

# data[].attributes.body
The order boundary, especially

of a circular area; perimeter: the

circumference of a circle.

# data[].attributes.body
The border or outer edge of a

two-dimensional shape