Question

Gina has one-third scale model of a three-dimensional solid, meaning that all lengths

of the model are 1/3 of the corresponding lengths in the full-size solid. If the volume of
Gina’s model is 20 cubic inches, what is the volume of the full-sized solid?

Answer 1

volume is 540 inches^3

Explanation:

The computation of the volume of the full sized solid is given below:

The length would be

`(a)/(3), (b)/(3), (c)/(3)`

And, the volume is

`(a)/(3) * (b)/(3) * (c)/(3)`

As the volume is given 20 cubic inches

So,

`(abc)/(27) = 20\\\\abc = 540 inches^3`

hence, volume is 540 inches^3