By what factor does the volume of a cube increase if the lengths of the edges are tripled?
A) 6
B) 9
C) 3
D) 27

Question

Quizplus · Accepted Answer

When the length of each edge is tripled, the new length of the edge will be 3 times the original length. Therefore, the new volume will be (3 times the original length) x (3 times the original length) x (3 times the original length), which simplifies to 27 times the original volume. Thus, the volume of the cube will increase by a factor of 27. So, the answer is D.

By What Factor Does the Volume of a Cube Increase