Question

A rectangular prism has a volume of 60 cubic feet. if the length and the width double, and the height remains the same, what will the new volume equal?

Answer 1

V2 = 240 cubic feet

Explanation:

V2 = 4 * ((w) * (l) * (h))

V2 = 4 * V1

Substituting we have:

V2 = 4 * (60)

V2 = 240 cubic feet

Answer 2

By definition, the volume of a rectangular prism is given by:
V1 = (w) * (l) * (h)
Where,
w: width
l: long
h: height
Substituting we have:
60 = (w) * (l) * (h)
if the length and the width double, and the height remains the same, we have:
V2 = (2w) * (2l) * (h)
Rewriting:
V2 = 4 * ((w) * (l) * (h))
V2 = 4 * V1
Substituting we have:
V2 = 4 * (60)
V2 = 240 cubic feet
Answer:
the new volume will be:
V2 = 240 cubic feet