Question

A room has a total interior volume of
512
cubic meters. Inside the room are three cube-shaped boxes of different sizes.

Box
1
has a volume of
(
10
−
2
)
3
cubic kilometers.
Box
2
has a side length of
100
centimeters. The area of one face for the box is
10
,
000
square centimeters.
Box
3
has a volume of
10
3
cubic centimeters.
Which value is equivalent to the volume of Box
1
in cubic kilometers?



A.
1
10
6
cubic kilometers

B.
1
10
5
cubic kilometers

C.
10
5
cubic kilometers

D.
10
6
cubic kilometer

Answer 1

Interpret (10−2)^3 as (10^(-2))^3. Using exponent rules:

(10^(-2))^3 = 10^(-2·3) = 10^(-6) = 1/10^6.

So the correct choice is A.