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One cube has a volume of 343 cubic centimeters. The edge length of a second cube is three times the edge length of this first cube. What is the positive difference between the volume of the second cube and the volume of the first cube, in cubic centimeters?

 Mar 16, 2021
 #1
avatar+148 
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if the cube has a volume of 343 cubic centimeters, that means that a side length of the cube is 7 (cube root of 343).

 

the edge length of the second cube would be 7 * 3 = 21, and the volume of that cube would be 21^3 = 9261.

 

the difference between the volume of the first cube and the volume of the second would be 9261 - 343 = 8918.

 Mar 16, 2021
 #2
avatar+33795 
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x * x * x = 342

3x*3x*3x = 27 x*x*x      second cube is 27 times first cube   difference is  26 times first cube = 26 * 343 = 8918 cm3

 Mar 16, 2021

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