The pair of square pyramids are similar. Use the given information to find the scale factor of the smaller square pyramid to the larger square pyramid.

Question

v=343 in^3
v= 512 in^3

Answer 1

To find the scale factor between two similar figures, we can use the formula:

(scale factor)^3 = (volume of smaller figure) / (volume of larger figure)

In this case, the volumes of the smaller and larger square pyramids are given as 343 in^3 and 512 in^3 respectively.

Therefore, the scale factor can be calculated as:

(scale factor)^3 = 343 / 512
(scale factor)^3 = 0.67

Taking the cube root of both sides, we get:

scale factor ≈ 0.87

Therefore, the scale factor of the smaller square pyramid to the larger square pyramid is approximately 0.87.