Question

Anna builds a rectangular prism storage container with dimensions of 8 inches by 6 inches by 12 inches. She builds a second container with a greater volume by increasing the dimensions of the rectangular prism to 16 inches by 12 inches by 24 inches. How will the volume of the second container she builds compare to the volume of the first one?

A. The volume will be two times greater.
B. The volume will be four times greater.
C. The volume will be six times greater.
D. The volume will be eight times greater.

Answer 1

This is a volume problem

v=lwh

each variable is being doubled, so you have 2*l*2*w*2*h

combine like terms (the twos)
and you have 8lwh

if v=lwh, then 8lwh=8v, so the answer is d