Madeline's Surface Area and Volume Post

Surface Area

Rectangular Prism:

1.
TSA = LW2 + LA*
TSA = 5 x 6 x 2 + 22 x 10
TSA = 60 + 220
TSA = 280m²

*Lateral Area

2.
TSA = (F + S + T) x 2
TSA = (50 + 30 + 60) x 2
TSA = (140) x 2
TSA = 280m²

Triangular Prism:

1.
TSA = LA + b x h¸ 2 x 2
TSA = 27 x 5 + 9 x 8 ¸ 2 x 2
TSA = 135 + 72 ¸ 2 2 x 2
TSA = 135 + 36 x 2
TSA = 135 + 72
TSA = 207cm²
2.
TSA = rectangle + rectangle + rectangle + triangle + triangle

TSA = 5x8 + 5x10 + 5x9 + 9x8 ¸ 2 + 9x8 ¸ 2

TSA = 40 + 50 + 45 + 72 ¸ 2 + 72 ¸ 2

TSA = 40 + 50 + 45 + 36 + 36

TSA = 207cm²

Cylinder:

1.

TSA = 2πr² + πdh

TSA = 2 x 3.14 x 4 x 4 + 3.14 x 8 x 12

TSA = 2 x 3.14 x 16 + 3.14 x 96

TSA = 2 x 50.24 + 301.44

TSA = 401.92mm²TSA = 100.48 + 301.44

2.

TSA = rectangle + circle + circle

TSA = 301.44 + 50.24 + 50.24

TSA = 401.92 mm²

Quiz

Surface Area of a Cube:

Volume

Triangular Prism:
(b x h/2) x h
(5 x 3/2) x 8.5
(15/2) x 8.5
7.5 x 8.5
63.75m³

Rectangular Prism:
l x w x h
20 x 8 x 16
160 x 16
2560cm³

3/8 of the triangular prism:
(b x h/2) x h
(4 x 8/2) x 6.5
(32/2) x 6.5
16 x 6.5
104cm³
104 divided by 8 = 13
13 x 3 = 39cm³

Cylinder:
πr² x h

3.14 x 6 x 6 x 15

3.14 x 36 x 15

113.04 x 15

1695.6cm³