Question

One hexagonal prism has dimensions that are triple the dimensions of a similar hexagonal prism. If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

4.75 cm3
14.25 cm3
42.75 cm3
128.25 cm3

Answer 1

128.25 cm3

Explanation:

Answer 2

128.25 cm³

Explanation:

Volume of an hexagonal prism:

The volume of an hexagonal prism is given by:

`V = (3√(3) a^2h)/(2)`

In which a and h are the dimensions.

Triple the dimensions

This means that the volume will be multiplied by 3^3, 27(as there are 3 terms which are dependent of the dimensions, a² and h).

If the volume of the smaller prism is 4.75 cm3, what is the volume of the larger prism?

27*4.75 = 128.25 cm³

128.25 cm³ is the answer