Question

The ratio of sides of 2 similar cubes is 3:4. Larger cube has a volume of 1728 cubic meters . What is the volume of the smaller cube?

Answer 1

729m³

Explanation:

To find the length of one side find the cube root of 1728m³

³√1728=12metres

To find the length of the smaller cube

ratio 3:4.

4/7=12m

3/7=?

3/7×12 = 3/7×12×7/4

4/7

=9metres

To find volume of the small cube

volume=9×9×9

=729m³