**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

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

Good post Glenesse. Keep up the good work and next time add some colors to your work. Good job on the pictures, and nice video.

ReplyDeleteGreat Job Glenesse. Your post was very well organized and it well explained. Good job.

ReplyDeleteGood job! Very well explained, but next time add some color to the key words.

ReplyDelete