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?

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