Question

Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has a volume of 250m3.

Answer 1

432m^3

Explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^
`(1)/(2)` =
`(5)/(6)`

Now

ratio of volume = (ratio of side)^3 =
`(5^(3))/(6^(3))` = 125 : 216

Based on the above information, the calculation is as follows

`(125)/(216) = (250)/(x)`

So,

`x = (250 * 216)/(125)`

= 432m^3