Question

box a has a volume of 48 cubic meters. box b is similar to box a. to create box b, box as dimensions were doubled. what is the volume of box b?
$24\\ \text{m}^3$
$96\\ \text{m}^3$
$144\\ \text{m}^3$
$384\\ \text{m}^3$

Explanation:

Step1: Recall volume scale factor rule

For similar solids, if linear dimensions are scaled by a factor $k$, volume scales by $k^3$. Here $k=2$, so volume scale factor is $2^3=8$.

Step2: Calculate Box B's volume

Multiply Box A's volume by the scale factor.
$\text{Volume of Box B} = 48 \times 8$

Answer:

384 m³