Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 13
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46Exercises
7.2
Help with Homework
1.
VOCABULARY
Is 25 a perfect cube? Explain.
2.
REASONING
Can the cube of an integer be a negative number? Explain.
Find the edge length of the cube.
1
3.
3
4.
5.
3
Volume
125,000 in.
3
Volume
0.064 m
Volume
ft
27
s
s
s
s
s
s
s
s
s
Find the cube root.
—
—
—
3
3
3
√
√
− 125
√
− 1000
1
1
6.
729
7.
8.
√
√
—
—
—
1
343
3
√
−
3
9.
1728
10.
—
11.
3
—
512
64
Evaluate the expression.
√
—
(
)
3
—
—
1
3
(
)
3
3
3
12. 18 −
√
−
+ 3
√
729 − 24
2 2
3
—
—
27
13.
14. 5
8
4
√
—
1
—
—
1
3
3
− 2
−
16. 54 +
√
− 4096
√
8000 − 6
15.
—
3
—
17. 4
4
216
Evaluate the expression for the given value of the variable.
√
—
—
—
n
n
3
3
√
+
, n = 500
√
6w − w, w = 288
20. 2d +
− 45d , d = 75
3 3
3
—
—
18.
19.
4
10
21.
STORAGE CUBE
The volume of a plastic storage
cube is 27,000 cubic centimeters. What is the
edge length of the storage cube?
22.
ICE SCULPTURE
The volume of a cube of ice
for an ice sculpture is 64,000 cubic inches.
a. What is the edge length of the cube of ice?
b. What is the surface area of the cube of ice?
298
Chapter 7
Real Numbers and the Pythagorean Theorem
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