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Study each volume formula and interpret what each variable represents (radius, height, length, width). Next, make a Word document of each formula and add an image for each 3D solid.

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Have students come up with a song or rap to memorize volume formulas in small groups. Next, record your song on VoiceThread. Everyone will listen to each other's songs and vote on the best one. The group with the most votes will get a few extra credit points.

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Work individually to find volumes of the following examples, Complete the assignment, take a picture of work with class iPads and upload it to an online discussion board (ie Google Classroom). Comment on two other student's work.

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Play relevant math games relating to 3D shapes. After playing games, find another website with other geometry math games if time permits. There will be time to share the games you've found in class.

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Watch the video on geometry examples in the real world. Then, think of your own 3D solids and find the volume of them to the best of your ability (the Earth, the Sun, Great Pyramids, roll of toilet paper, Rubik's cube, etc.)

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Read an article online or watch a video online explaining 3D shapes and their volumes.

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Volume of a cone | Perimeter, area, and volume | Geometry | Khan Academy

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design discussions
no-schedule meetings
professional development
collaborate with clients
sales and marketing

replace text-only discussions
interactive lectures
support UDL principles
no-schedule office hours
professional development

student presentations
conversational practice
professional development
rich assessment
safe and accountable

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Transforming media into collaborative spaces with video, voice, and text commenting.

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Are you looking for free geometry math games? Check out the activities provided on this website!

The following geometry games are suitable for elementary and middle school students.

2D Shapes (Jeopardy Game)
Play this fun jeopardy-style math game alone, with another friend, or even in teams.

Geometry Math Vocabulary Game
Discover important math terms based on given properties or definitions.

Classifying Angles Game
Classify angles as acute, right, obtuse, or straight when you play this interactive Tic Tac Toe game against the computer.

Classifying Triangles Game
In this interactive game, kids will practice classifying triangles as as acute, right, or obtuse by dragging and dropping different images in the correct basket in less than two minutes.

2D Shapes Game (Concentration)
In this game students click on two cards to match the figure of a two-dimensional shape with its name. If there is a match, the problems remain on the page; if not, the cards are turned over.

Classifying Geometric Figures Game
Classify geometrical figures as 2-dimensional or 3-dimensional by playing this fun and interactive geometry game.

Polygon or Not?
Do you know if a given geometric figure is a polygon or not? Play this fun game to demonstrate your skills! How many points can you score in one and a half minutes?

3D Shapes Game (Concentration)
Have fun matching pictures of three-dimensional shapes with the correct words. If there is a match, the problems remain on the page; if not, the cards are turned over.

Types of Polygons
In this game you have to quickly name different types of polygons based on given clues. For each question you will have only 30 seconds to write your answer.

Angles Jeopardy Game
This game is a fun way to assess your knowledge about measuring and classifying angles. The game has a single-player mode and a multi-player feature.

3d-Shapes Game
Discover the names of the most important 3d shapes.

Pythagorean Theorem Game
Find the legs or the hypotenuse of a right triangle, and solve word problems by applying the Pythagorean Theorem.

Polygon Game
Learn how to clasify different polygons based on their characteristics.

Basic Shapes Game
Match six basic shapes with the correct words.

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Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

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Students divide into two teams. Next, they'll divide into two lines. One person rolls two dice which will correspond to a volume problem on a SlideShow. The two students at the front of the line will solve the same problem and the person who finishes first, with the correct answer, gets a point for their team. Play until out of questions. Team with the most points wins.

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Problems on 3D shapes, such as prisms, cube, cylinder, volume are presented along with detailed solutions

has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism. . Find the volume of the cube. , find the lengths of the sides a and b of the triangle. Find the volume of the given L-shaped rectangular structure. and the outer diameter is 12 mm. . Find the volume of the hexagonal prism whose base is a regular hexagon of side x = 10 cm.

Problem 1
A rectangular prism of volume 3200 mm ³

Solution to Problem 1:

Volume is given by by
volume = length * width * height = 10 mm * 8 mm * h = 3200 mm³

Solve for h
h = 3200 mm³ / 80 mm² = 40 mm

Problem 2
The area of one square face of a cube is equal to 64 cm ²

Solution to Problem 2:

The area of one square face is given by
s * s = 64 cm²

Solve for s
s = SQRT(64 cm²) = 8 cm

The volume V of the given cube is given by
V = s³ = 8³ = 512 cm³

Problem 3
The triangular base of a prism is a right triangle of sides a and b = 2a. The height h of the prism is equal to 10 mm and its volume is equal to 40 mm ³

Solution to Problem 3:

The volume V of the prism is given by
V = (1/2) a * b * h = 40 mm³

Substitute b by 2a and h by its value
40 mm³ = a² * 10 mm

Solve for a and calculate b
a = 2 mm
b = 2a = 4 mm

Problem 4

Solution to Problem 4:

We can think of the given shape as a larger rectangular prism of dimensions 60, 80 and 10 mm from which a smaller prism of dimensions 40, 60 and 10 mm has been cut. Hence the volume V of the given 3D shape
V = 60 * 80 * 10 mm³ - 40 * 60 * 10 mm³ = 24000 mm³

Problem 5
Find the thickness x of the hollow cylinder of height 100 cm if the volume between the inner and outer cylinders is equal to 11000 Pi mm ³

Solution to Problem 5:

If R and r are the outer and inner radii of the hollow cylinder the volume V between the inner and outer cylinders is given by
V = h*(Pi R² - Pi r²) = 11000 Pi

Also R = 6 and h = 100 cm = 1000 mm, hence
1000 * (36 Pi - Pi r²) = 11000 Pi

Solve for r
r = 5 mm

Find x
x = R - r = 1 mm

Problem 6
Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm ³

Solution to Problem 6:

We can think of the given shape as a larger rectangular prism of dimensons 8, 3 and 10 cm from which a smaller prism of dimensions x, x and 3 cm has been cut. Hence the volume V of the given 3D shape is given by
V = 8 * 3 * 10 mm³ - x * x * 3 mm³ = 165 cm³

Solve for x
x = 5 cm

Problem 7

Solution to Problem 7:

The hexagon is made up of 6 equilateral triangles, hence the area A of the base
A = 6 (x² SQRT(3) / 4)

Hence the volume V of the prism
V = 24 * 6 (10² SQRT(3) / 4) cm ² = 6235.4 cm³ (rounded to 1 decimal place)

More References and Links to Triangles and Geometry

Geometry Tutorials, Problems and Interactive Applets.

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Problems on 3D shapes, such as prisms, cube, cylinder, volume are presented along with detailed solutions has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism. . Find the volume of the cube. , find the lengths of the sides a and b of the triangle.