Question

Box A has a volume of 48 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were doubled. What is the volume of box B? a. 24 m3 b. 96 m3 c. 288 m3 d. 384 m3

Answer 1

The answer is d. 384 m3.

The volume (V) of the box is:
V = l × w × h
l - the length of the box
w - the width of the box
h - the height of the box

If V1 = 48 m³ = l × w × h and all its dimensions are doubled to create box B, then:
V2 = 2l × 2w × 2h = 2 × 2 × 2 × l × w × h = 8 x l × w × h

We know that l × w × h is 48 m³, so:
V2 = 8 x l × w × h = 8 × 48 = 384 m³