The weight of a 1-centimer cubed metal cube scaled up by a factor of 10 will be
A)ten times as much.
B)a hundred times as much.
C)a thousand times as much.
D)none of the above

Question

Quizplus · Accepted Answer

When a metal cube is scaled up by a factor of 10, the ratio of the length of each side changes from 1cm to 10cm. Since the volume of a cube is calculated by taking the product of the length, width, and height of the cube, scaling up by a factor of 10 increases the volume by a factor of 10*10*10 = 1000. Therefore, the weight of the metal cube will increase by a factor of 1000 as well.

The Weight of a 1-Centimer Cubed Metal Cube Scaled Up