JM's Surface Area and Volume Post

Rectangular Prism


T=10 x 5 = 50
F= 10 x 6 = 60
S= 5 x 6 = 30

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

Triangular Prism

l x w

10 x 5 = 50

9 x 5 = 45

8 x 5 = 40

b x h ÷ 2

9 x 8 = 72 ÷ 2 = 36

9 x 8 = 72 ÷ 2 = 36

36 + 36 = 72

TSA = 50+45+40+72

= 207 cm ²

^Cylinder

d÷2 = r

8 ÷ 2 = r

4 = r

c = π d

= 3.14 x 8

= 25.12 cm

lxw

12 x 25.12 = 301.44 cm

@ = π r2

= 3.14 x 4 x 4

= 50.24 cm

TSA = circle + circle + rectangle

= 50.24 + 50.24 + 301.44

= 401.92 cm2

Volume

1. Triangular Prism

v= bxh divided by 2 x h2

5x3= 15 divided by 2 = 7. 5

7.5 x 8.5 = 63.75cm3

2. rectangular prism

v = l x w x h

20 x 8 x 16 = 2560

3. Triangular prism 3 eighths

bxh divided by 2 x h

4 x 8 divided by 2 = 16

16 x 6.5 = 104cm3

104 divided by 8 = 13 x 3 = 39cm3

4. Cylinder

r = diameter divided by 2 r = 12 divided by 2 = 6

Pi x r x r x h

3.14 x 6 x 6 x 15

= 1695.6cm3