Monday, February 14, 2011

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

3 comments:

  1. 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.

    ReplyDelete
  2. Great Job Glenesse. Your post was very well organized and it well explained. Good job.

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

    ReplyDelete