Page 116 - Math Course 1 (Book 2)

Volumes of Prisms and Cylinders

Real World Example Real World Example

SWIMMING POOLS

BAKING A swimming pool is f lled with 960 cubic feet of
Cake batter is poured into a pan that is a rectangular water. The pool is a rectangular prism 20 feet long
prism whose base is an 8-inch square. If the cake and 12 feet wide and is the same depth throughout.
batter occupies 192 cubic inches, what will be the Find the depth of the water.
height of the batter?
A. 2 feet
B. 4 feet
V = Bh Formula for volume of a prism. C. 8 feet
D. 30 feet
V = ℓ • w • h Replace B with ℓ • w.

Replace V with 192, ℓ with 8, and
192 = 8 • 8 • h
w with 8.
192 = 64h Simplify.

3 = h Divide each side by 64.

The height of the batter is 3
Answer Answer
inches.

Your Turn! MO. 10 - L2b

Finding the Volumes
Volume of a Rectangular Prism
of Cylinders
Find the volume of the prism.

A. 11.5 ft 3 Key Concept
B. 22.5 ft 3
C. 45 ft 3
D. 81 ft 3
Volume of a Cylinder

The volume V of a cylinder with
Words radius r is the area of the base B
Answer
times the height h.
2
V = Bh, where B = πr or
Symbols
2
Volume of a Triangular Prism V = πr h
Find the volume of the triangular prism.
Models
A.33.5 ft 3
B.30 ft 3 h
C.15 ft 3
D.10.5 ft 3 r

Answer

108