Sunday, March 21, 2010

Elona's Surface Area Growing Post

(Note: The '3' indicated with the yellow line is supposed to be 4, and the other 3 is supposed to be a 2)
Rectangular Prism












Net:

A = L x W
A = 15 x 4
A = 60 cm2

A = L x W
A = 4 x 2
A = 8 cm2

A = L x W
A = 15 x 2
A = 30 cm2

TSA = 60 + 60 + 8 + 8 + 30 + 30
= 196 cm2

Triangular Prism












Net:















A = B x H /2
A = 12 x 5
A = 60 cm2

A = L x W
A = 15 x 3
A = 45 cm2

A = L x W
A = 5 x 3
A = 15 cm2

A = L x W
A = 12 x 3
A = 36 cm 2

TSA = 36 + 36 + 45 + 15 + 60
= 192 cm 2

Cylinder












Net:









Radius:
R = D/2
R = 9/2
R = 4.5cm2

Circumference:
C= Pi x D
C= 3.14 x 9
C= 28.26

Area:
A= Pi x R x R
A= 3.14 x 4.5 x 4.5
A= 63.585

L x W = Area
63.585 x 63.585 = Area
127.17 cm2 = Area

Total Surface Area:

TSA=Circle+Circle+Rectangle
=63.585+63.585+127.17
= 254.34 cm2

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