VOLUME OF SOLIDS

VOLUME OF PRISMS

V = Area of Base x Height

V = V = V =

6 cm8 cm

10 cm

All measurements must be in the same UNIT before doing ANY calculations !

Example #2Find the volume of a prism that is 15 cm high and has a pentagonal base. The area of the pentagon is 105 cm2 . Give your answer in cubic centimeters.

Height = Area of base =

Volume = Area of base X HeightVolume =Volume =

How to find height when you know volume and area of the base.

Volume = Area of Base X HeightHeight = Volume Area of Base

Example: Prism has a volume of 2400 cm3 and an area of base of 120cm2 What is its

height?

Height = Volume Abase

H = H =

V= 2400 cm3

Abase= 120 cm2

Area base = Volume

Height

Find the area of the base of a prismThat has a volume of 300 cm3

and a height of 5 cm.Area base =

Area base =

How to find area of base when you know volume and height.

V= 300 cm3

Volume of Cylinders

Volume = Area of Base X HeightVolume = πr2 X HeightVolume =Volume = (exact)

Volume = (rounded)

Remember to ALWAYS work in ONE unit.

H = 10cm

d= 4 cm