Jae Anne's Volume Scribepost

Textbook pg 250 - 252
# 3, 9, 11, and 15

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

a)

V = area of the base x height

    = 15 cm² x 4 cm

    = 60 cm³

b)

V = area of hte base x height

    = 18 cm² x 12 cm

    = 216 cm³

c)

 

V = area of  the base x height

    = 96 cm² x 20 cm

    = 1920 cm³ 

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

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 the base x height

     = 10.4 cm² x 9 cm

     = 93.6 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?

V = area of the base x height

    = 615 m² x 44.5 m
    = 27367.5 cm³

I can't find the percent  of the space station used for living.. I tried what we did on percents but I can't.. I'm sorry.. :(

Here's the correct answer nmber 15.

425/27367 = 0.155 or 0.16

0.16 x 100 = 1.6%

Here is a  link to know more about volume.

Cylinder Volume and Volume Problems

Chapter 7.3

V = πr²h
    = (3.14 x 4²) x 10             r = d/2
    = 50.24 m² x 10 m             = 8/2
    = 502.4 m³                          = 4 m

    = 502.4 m³/2
    = 251.2 m³



Chapter 7.4

V = πr²h

    = (3.14 x 0.5²) x 10

    = 0.785 m² x 10 m

    = 7.85 m³

V = πr²h

    = (3.14 x 0.4²) x 10

    = 0.5024 m² x 10 m

    = 5.024 m³

    = 7.85 m³ - 5.024 m³

    = 2.826 m³