## Wednesday, February 16, 2011

### Kristel's Volume Scribe Post

3. Determine the volume of each right prism or cylinder.

a) v= area of base x height
15 cm2 x 4 cm
60 cm3

b) v= area of base x height
18 cm2 x 12 cm
216 cm3

c) v= area of base x height
96 cm2 x 20 cm
1920 cm3

9. How many ways can you build a rectangular prism from 16 centimeter cubes? Use diagrams or centimeter cubes to show your designs.

You can build 4 designs:

1 - L = 16 cm, W = 1 cm, H = 1 cm

2 - L = 4 cm, W = 2 cm, H = 2 cm

3 - L = 8 cm, W = 1 cm, H = 2 cm

4 - L = 4 cm, W = 1 cm, H = 4 cm

11. José is having vegetable soup. The area of the base of the soup can is 10.4 cm2, and the height is 10 cm. When José opens the can, he sees that the soup comes up to a height of only 9 cm. What volume of soup is in the can?

v = Area of base x height
10. 4 cm2 x 9 cm
93.60 cm3

15. The International Space Station is shaped like a cylinder that has a cross-sectional area of 615 m2 and a length of 44.5 m. The living space for the astronauts is 425 m3. What percent of the volume of the space station is used for living?

Cylinder volume and volume problems

12) 7.3- Page 266

Jumbo

d/2 = r

20/2 = r
10 cm = r

v = π x r x r x h
v = (3.14 x 10 x 10) x 40
v = 12560 cm^

Popcorn Lovers
d/2 = r
30/2 = r
15 cm = r

v = π x r x r x h
v = (3.14 x 15 x 15) x 20
v = 14130 cm^

Martha should buy Popcorn Lovers because the volume is larger than the Jumbo

5) 7.4- Page 273

d/2 = r
1/2 = r
0.5 m = r

v = π x r x r x h
v = (3.14 x 0.5 x 0.5) x 10
v = 7.850 m^

d/2 = r
0.8/2 = r
0.4 m = r

v = π x r x r x h
v = (3.14 x 0.4 x 0.4) x 10
v = 5.024 m^

7.850 - 5.024 = 2.286 m^

You will need 2.286m^ of concrete