Karl's Homework Book Post

Homework Book
Even #'s, Pages 78-79.


4.a)



b)


c)


Answers

4.a)
V=area of base x height
V=100cm² x 4cm
V=400cm³

b)
V=area of base x height
V=113cm² x 3cm
V=339cm³

c)
V=area of base x height
V=80cm² x 12cm
V=960cm³



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


b)


Answers:
a)
V=area of base x height
V=40cm² x 5cm
V=200cm³

V=area of base x height
V=20cm² x 10cm
V=200cm³

Both of them have a volume 200cm³

b)
V=area of base x height
V=10.5m² x 1m
V=10.5m³

V=area of base x height
V=3m² x 3.5m
V=10.5m³


8)

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

Answers:
V=area of base x height
V=27m² x 0.9m
V=24.3m³

They need to put 24.3m³ of water in the pool.


Cylinder Problems and Volume Problems



a)V=pi.r.r.h
V=(3x2x2)x10
V=120m^3

b)V=pr.r.r.h
V=(3.14x2x2)x10.5
V=131.88m^3

d/2 = r
8 / 2 = r
4cm = r

V = pi.r.r.h
V = (3.14x4x4)x40
V= 2009.6cm^3