Glenesse's Homework Book Post

Homework Book

Pages 78-79

Even #'s 4, 6, 8

Questions:

4. Calculate the volume of each prism or cylinder.

a)

b)

c)

Answers:

4)-a) Area of base X height

100 cm² X 4 cm = 400 cm³

b) Area of base X height

113 cm² X 3 cm = 339 cm³

c) Area of base X height

80 cm² X 12 cm = 960 cm³

Question:

6) Which rectangular prism has the larger volume? Show your thinking.

a)

b)

Answers:

6)-a)

1-Area of base X height

40 cm² X 5 cm = 200 cm³

2-Area of base X height

20 cm² X 10 cm = 200 cm³

They both have a volume of 200 cm³.

b)

1-Area of base X height

10.5 m² X 1 m = 10.5 m³

2-Area of base X height

3 m² X 3.5 m = 10.5 m³

They both have a volume of 10.5 m³.

Question:

Nikki and Taylor have to fill the pool this summer. The area of the pool bottom is 27 m². The height that the water needs to be is 0.9 m. How much water do they need to put in the pool?

Answer:

Area of base X height

27 m² X 0.9 m = 24.3 m³

Click Here to learn more about volumes.

Here is a video on how to find the volume of a prism.

Cylinder Volume and Volume Problems

Jumbo
r=d/2
r=20/2
r=10cm

v=π x r x r x h
v=(3.14 x 10 x 10) x 40
v=314cm^2 x 40cm
v=12560cm^3

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

v=π x r x r x h
v=(3.14 x 15 x 15) x 20
v=706.5cm^2 x 20cm
v=14130cm^3

Martha should buy the Popcorn Lovers container

a)

r=d/2

r=120/2

r=60cm

v=π x r x r x h

v=(3.14 x 60 x 60) x 18

v=11304cm^2 x 18cm

v=203472cm^3

b)

v=l x w x h

v=30 x 22 x 20

v=660cm^2 x 20

v=13200cm^3

c) 203472cm^3/13200cm^3 = 15.4 pails