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)^[tex]\frac{1}{2}[/tex] = [tex]\frac{5}{6}[/tex]
Now
ratio of volume = (ratio of side)^3 = [tex]\frac{5^{3}}{6^{3}}[/tex] = 125 : 216
Based on the above information, the calculation is as follows
[tex]\frac{125}{216} = \frac{250}{x}[/tex]
So,
[tex]x = \frac{250 \times 216}{125}[/tex]
= 432m^3
