Question

Box A has a volume of 12 cubic meters. Box B is similar to box A. To create box B, box A's dimensions were multiplied by five. What is the volume of box B?

Answer 1

The first task you do is to put the box dimensions into a ratio (or fraction, whichever term you prefer).
\[\frac{ A }{ B }\]
Since we know we are multiplying our dimensions by five, we can write this equation:
\[\frac{ 1 }{ 5 }\]
To find the volume of the other box, we cube both sides of our ratio.
\[\frac{ 1^{3} }{ 5^{3} }\]
When you cube our ratio, you should get:
\[\frac{ 1 }{ 125 }\]
After figuring this out, we take the volume of Box A and multiply it by 125.
\[12 \times 125 = 1,500cm ^{3}\]