Question

What is the ratio for the volumes of two similar pyramids, given that the ratio of their edge lengths is 5:7?

A. 125:343
B. 343:125
C. 49:25
D. 25:49

Answer 1

All you have to do is divide the left side of the ratio by 5 and the right side of the ratio by 7. The one that comes out even on both sides is the correct one.

Answer 2

Answer:

The answer is the option A

$\frac{125}{343}$

Step-by-step explanation:

we know that

The ratio for the volumes of two similar pyramids is equal to the scale factor elevated to the cube

In this problem we have that

The scale factor is equal to $\frac{5}{7}$

so

The ratio for the volumes of two similar pyramids is equal to

$(\frac{5}{7})^{3}=\frac{125}{343}$