Page 887 - Algebra 1

Volume of Prisms and Cylinders
Skills Bank Lesson 26
The volume is the amount of space a solid occupies. Volume is measured in cubic units. To estimate volume, imagine unit cubes filling a figure.
Finding the Volume of Prisms and Cylinders
Find the volume of each figure. Use 3.14 for π. Round to the nearest hundredth.
Formulas for the Volume of Prisms and Cylinders
Prism
V = Bh
B: area of base
h: height of prism
Cylinder
V = πr2h
r: radius h: height
Example
1
a.
3m
6m
3m
2m
4m
b.
SOLUTION
V = πr2h
≈ 3.14 · (32) · 6 = 3.14 · (9) · 6 = 169.56 m3
SOLUTION
V = Bh
= (4 · 2) · 3 = 8 · 3
= 24 m3
Skills Bank Practice
Find the volume of each figure. Use 3.14 for π. Round to the nearest hundredth.
a.
b.
11 m
7m
8m
2m 4m
872 Saxon Algebra 1