Question

What happens to the volume of a rectangular prism when each of the dimensions is doubled?
A. It doubles
B. it quadruples
C. it is six times as great
D. it is eight times as great

Answer 1

The volume \(V\) of a rectangular prism is the product of the length \(L\), width \(W\), and height \(H\):
\[V=L\times W\times H\]
Suppose we double each dimension. Then
\[\text{new }V=2L\times 2W\times 2H=(2\times2\times2)LWH\]