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

See steps

Explanation:

Volume of cubes is proportional to the cube of the side length.

Using proportions,

Volume of smaller cube / 1728 = (3/4)^3

Cross multiply,

Volume of smaller cube

= 1728 * (3/4)^3

= 1728 * (27/64)

= 729 cubic metres.

Note: all cubes are similar and each has 6 congruent faces.