Page 305 - Algebra 1

Example
4
Application: Volume
A gift box in the shape of a cube has a volume of 3375 cubic inches. What is the side length of the box?
SOLUTION
Use the formula for the volume of a cube.
V=s3 =3375
The side length of the box is equal to the cube root of the volume.
s = √3 3 3 7 5 3
= √3 1 5 = 15
The side length of the box is 15 inches. Check V = 153 = 3375
V = 3375 in3
s
Lesson Practice
290 Saxon Algebra 1
Simplify each expression.
√ 19 6 √ 1
√ 81 _
144
_1 m. (-625)4
(Ex 3)
b. -√ 64 (Ex 1)
d. √ -6 4 (Ex 1)
f. √3 172 8 (Ex 2)
h. √4 160 ,0 00 (Ex 2) _1
j. (125)3 (Ex 3) _1
l. (81)4 (Ex 3)
a.
(Ex 1)
c.
(Ex 1)
e.
(Ex 1)
g.
(Ex 2)
i.
(Ex 2)
√3 - 34 3 4
√ -1 6 _1
k. (-8)3 (Ex 3)
n. A sculpture in the shape of a cube has a volume of 1728 cubic feet. (Ex 4) What is the side length of the block?