Page 17 - Math Course 2 (Book 2)

Geometric Volume: Prisms and Cylinders

Your Turn! MO. 7 - L3b

Volume of a Triangular Prism
Volumes of Cylinders
Find the volume of the triangular prism.

A. 6480 in 3 30 in. Vocabulary A-Z
B. 8100 in 3 Let us learn some vocabulary
C. 3240 in 3
D. 4050 in 3 18 in.
15 in.
a find volumes of cylinders
If a cylinder has a volume of V cubic units, a height
of h units, and the bases have a radii of r units,
2
then V=Bh or V = πr h.

r

h
Area of base = πr 2
Answer

Real World Example Key Concept

The weight of water is 62.4 pounds per cubic foot.
How many pounds of water would fit into a back Volume of a Cylinder
yard pond that is rectangular prism 3 feet deep, 7
feet wide, and 12 feet long? If a right cylinder has a volume of V cubic units,
a height of h units, and the bases have radii of r
A. 252 lb units, then V = Bh or V = πr h.
2
B. 17,971.2 lb
C. 16,178.4 lb 3 ft 7 ft
D. 15,724.8 lb
12 ft r

h
Area of base = πr 2

Cavalieri’s Principle

If two solids have the same height and the same
cross-sectional area at every level, then they have
the same volume.

Answer

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