The surface areas of two similar solids are 144yd^2 and 400yd^2. The volume of the larger solid is 1795yd^3. What is the volume os the smaller solid?

Answer 1

The ratio of surface areas of two similar figures is as the square of the ratio (scale) of the lineare dimension.

144 / 400 = 12² / 20²

The scale factor is 12 / 20 or 3 / 5

Thie ratio of the volumes of two similar solids is as the cube of the scale factor.

3³ / 5³ = x / 1975

Can you solve for x and answer?