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

Answer:

432m^3

Step-by-step 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)^$\frac{1}{2}$ = $\frac{5}{6}$

Now

ratio of volume = (ratio of side)^3 =  $\frac{5^{3}}{6^{3}}$ = 125 : 216

Based on the above information, the calculation is as follows

$\frac{125}{216} = \frac{250}{x}$

So,

$x = \frac{250 \times 216}{125}$

= 432m^3