Question

There are two similar solids. The surface areas are 384 yd^2 and 1057 yd^2 . The volume of the larger solid is 1795 yd^3 . What is the volume of the smaller solid?(1 point)

Answer 1

To find the volume of the smaller solid, we can use the concept of similarity between the two solids.

Since the two solids are similar, their volumes will be proportional to the cubes of their corresponding dimensions.

Let the volume of the smaller solid be x yd^3.

We can set up a proportion based on the surface areas of the two solids:

(384 / 1057)^2 = x / 1795

(0.3630)^2 = x / 1795

0.1317 = x / 1795

x = 0.1317 * 1795

x ≈ 236.48

Therefore, the volume of the smaller solid is approximately 236.48 yd^3.