grade 10 · GEOM-018

Scale the volume of a solid

Cube a linear scale factor because three independent dimensions are changing.

Learn togetherFresh problem · seed 1108746841

A solid with volume \(4\) cubic units is enlarged by linear scale factor \(4\). What is the new volume?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

A linear scale factor changes length in one dimension.
Checkpoint 2

Volume has three dimensions, so use the cube of the scale factor.
Checkpoint 3

Multiply the original volume by \(4^3\).

Your answer