Question

Two cubes have lengths 8cm and 3 cm. what is the ratio of their respective volumes?

Answer 1

EXPLANATION

If two cubes have lengths= 8cm and 3 cm respectively, the ratio between them is as follows:

`\text{Volume}_{cube\text{ 3cm}}=3\cdot3\cdot3=3^3=27cm^3`

Then, the ratio is given by the relationship between both volumes:

`ratio_(cubes)=\frac{volume_{cube\text{ 8cm}}}{volume_{\text{cube 3cm}}}=(8\cdot8\cdot8)/(3\cdot3\cdot3)=(8^3)/(3^3)=512\colon27`

The ratio of their respective volumes is 512:27