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

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