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Pravilna šesterostrana prizma, Marin
h=6cm
a=9.5cm               B=6 × a²√3/4              P=6×a×h
------------------          B=6× 9.5²√3/4            P=6×9,5×5
O, B, V, P=?            B=6× 90,25√3/4         P=342cm²
B=541,5√3/4   /:4
V=B×h                  B=135,375√3   O=2B+P
V=234,5×6          B=234,5cm²     O=2×234,5+342
V=1407cm³                                   O=811cm²

# data[].attributes.headline
Petra Anđela Gašperov PRAVILNA ŠESTEROSTRANA PRIZMA

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Petra Anđela Gašperov PRAVILNA ŠESTEROSTRANA PRIZMA

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h= 9 cm
a= 4 cm
__________
O= ?
V=?

O⬇️

3a²/3       3× 4²/3         3× 16/3
B   =  ________   =  ________  =   _________ = 24/3 cm²
2                   2                      2

P = 6 × a × h = 6 × 4× 9 = 216 cm²

O = 2 × 24/3 + 1216 = 299.14 cm²

V⬇️

3a²/3       3× 4²/3         3× 16/3
B   =  ________   =  ________  =   _________ = 24/3 cm²
2                   2                      2

V = 24/3 × 9 = 216 /3 cm²

# data[].attributes.body
Pravilna trostrana prizma.         P=3ah   P =3×2×2  P=12cm²
O=2B+P O= 2×1,7320508076+12 O= 15,4641016152
B=a² puta korijen iz 3 kroz 4
=4korijena iz 3 kroz 4
=1,7320508076

# data[].attributes.body
a=19cm
b=14cm
c=2cm

O=2(ab+bc+ac)
O=2(19×14+14×2+19×2)
O=2×332
O=664cm²

V=a×b×c
V=19×14×2
V=532cm³

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Kvadar,Nikola

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a=5.5 cm
____________
O,V=?
O=6a²
O=6×5.5 cm²
O=181.5 cm²
V=a³
V=5.5³
V=166.375³

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a = 13,5 cm
b = 6,3 cm
c = 19,4 cm
---------------------------
O = ?
V = ?

O = 2(ab + ac + bc)
O = 2 × (13,5 × 6,3 + 13,5 × 19,4 + 6,3 × 19,4)
O = 2 × (85,05 + 261,9 + 122,22)
O = 2 × 469,17
O = 938,34 cm^2

V = abc
V = 13,5 × 6,3 × 19,4
V = 1.649,97 cm^3

# data[].attributes.body
a = 4 cm
h = 16 cm
--------------
O = ?
V = ?

V = B x h

B = a²√3/4
B = 4²√3/4
B = 16√3/4
B = 4√3
B = 4 x 1,7320
B = 6,928 cm²

V = 6,928 x 16
V = 110,848 cm³

O = 2B + P

P = 3ah
P = 3 x 4 x 16
P = 192 cm²

O = 2 x 6,928 + 192
O = 13,856 + 192
O = 205,856 cm²

# data[].attributes.body
a=3 cm
b=5 cm
c=1.5 cm

O=2(ab+bc+ac)
O=2(15 cm+7.5 cm+4.5 cm)
O=2*27 cm
O=54 cm²

V=abc
V=3 cm*5 cm*1.5 cm
V=22  cm³

# data[].attributes.body
a=10cm
b=5cm
c=2cm

O=2(ab+bc+ac)
O=2(10x5+5x2+10x2)
O=2x80
O=160cm2

V=abc
V=10x5x2
V=100cm3

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a = 3 cm
h = 11.5 cm
----------------------------
O = ?
V = ?

B = a2
B = 32
B = 9 cm2

P = 4 x ah
P = 4 x 3 x 11.5
P = 138 cm2

O = 2B + P
O = 2 x 9 + 138
O =  156 cm2

V = B x h
V = 9 x 11.5
V = 103.5 cm³

# data[].attributes.body
a = 3 cm
h = 12 cm
-------------------------------------
O = ?
V = ?

B = a²√3 / 2
B = 3²√3 / 2
B = 9√3 / 2 cm²
B = 7.79423 cm²

P = 3 x ah
P = 3 x 3 x 12
P = 108 cm2

O = 2B + P
O = 2 x 7.79423 + 108
O = 15.58846 + 108
O = 123.58846 cm2

V = B x h
V = 7.79423 x 12
V = 93.53076 cm³

# data[].attributes.body
a = 7 mm
h = 4 mm
----------------------------
O = ?
V = ?

B = 3 x a²√3 / 2
B = 3 x 7²√3 / 2
B = 3 x 49√3 / 2
B = 147√3 / 2
B = 127.30573 mm2

P = 6 x ah
P = 6 x 7 x 4
P = 168 mm2

O = 2B + P
O = 2 x 127.30573 + 168
O = 254.61146 + 168 mm²
O = 422.61146 mm2

V = B x h
V = 127.30573 x 4
V = 509.22292 mm³

# data[].attributes.body
a=9.5 cm                                b=4.5 cm
c=13 cm
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O, V=?

O=2(ab+bc+ac)                            O=2(9.5×4.5+4.5×13+9.5×13)
O=2(42.75+58.5+123.5)
O=2x224.75
O=449.5 cm2
V=a×b×c
V=9.5×4.5×13
V=555.75 cm3

# data[].attributes.body
a = 2.5 cm
----------------
O, V = ?

O = 6a²
O = 6 × 2.5 cm²
O = 15 cm²

V = a³
V = 2.5³
V = 15.625 cm³

# data[].attributes.body
a=17 cm
b=8.5 cm
c=5.5 cm
-----------------
O=2(ab+bc+ac)                                            O=2(17×8.5+8.5×5.5+17×5.5)
O=2×285.75
O=569.5 cm²

V=abc
V=17×8.5×5.5
V=794.75 cm³

# data[].attributes.body
a=16 cm
———————————
O=?
V=?

O=6a2
O=6 x 162
O=6 x 256
O=1536 cm2

V=a³
V=16³
V=4096 cm³

# data[].attributes.body
a=5cm
————————
O,V=?

O=6a2
O=6x10 2
O=6x100
O=600cm2

V=a3
V=10 3
V=1000cm3

# data[].attributes.body
a=8.5cm
-----------------
O,V=?

O=6a²
O=6×8.5²
O=6×72.25
O=433.5cm²

V=a³
V=8.5³
V=614.125cm³

# data[].attributes.body
a = 9.5 cm
b = 6.1 cm
c = 8.8 cm
----------------------
O = ?
V = ?

O = 2(ab+bc+ac)
O = 2(9.5x6.1 + 6.1x8.8 + 9.5x8.8)
O = 2(57.95 + 53.68 + 83.6)
O =  2x195.23
O = 390.46 cm²

V = abc
V = 9.5x6.1x8.8
V = 509.96 cm³

# data[].attributes.headline
Pronađite prizmu u svojoj okolini, postavite njenu sliku, odredite  vrstu prizme  i izračunajte oplošje i volumen :). 

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Pronađite prizmu u svojoj okolini, postavite njenu sliku, odredite  vrstu prizme  i izračunajte oplošje i volumen :). 