Question

A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. If all dimensions are doubled, what happens to the volume?

Answer 1

When the dimensions are doubled, the volume is eight times the original volume.

Explanation:

Answer 2

Hello!

To solve this, first compare the two volumes.

Let's start by first finding the volume of 5*7*12 (length*width*height) which would be 420 cm^3.

Now, find the volume of (5*2)*(7*2)*(12*2) or 10*14*24. This would simplify to 3,360 cm^3.

Now notice, when you double each side, you are basically doing 420*2^3 and 2^3 simplifies to 8. Therefore, when you double the sides, you are multiplying the entire volume of the original dimensions by 8.