How do I find the volume of a cube given the the following information:

One Cube has edges that are 3 times as long as the edges of a second cube. The volume of the first cube is 108 cubic centimeters. How do you calculate the volume of the second cube?
asked Mar 12, 2011

1. length of side of  "cube one"  = 3 x length of "cube two"

2. volume of "cube one" = 108 cm^3

cube two volume = ?

3. using eq. 2. => "cube one" length = (108 cm^3) ^ 1/3

4. using eq. 1&3 => : (108 cm^3) ^ 1/3 = 3 x length of "cube two"

5.using eq. 4 => length of cube two = (108 cm^3) ^ (1/3) / 3

6. using eq. 5 => volume of cube two = ((108 cm^3) ^ (1/3) / 3) ^ 3 = 108 cm^3 / 9
answered Mar 14, 2011 by Level 2 User (1,020 points)

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