The surface areas of two similar solids are 384 ydsuperscript 2 baseline and 1,057 ydsuperscript 2 baseline. The volume of the larger solid is 1,795 ydsuperscript 3 baseline. What is the volume of the smaller solid?

Question

(1 point)
Responses

1,795 ydsuperscript 3
1,795 yd Image with alt text: superscript 3

1,082 ydsuperscript 3
1,082 yd Image with alt text: superscript 3

393 ydsuperscript 3
393 yd Image with alt text: superscript 3

978 ydsuperscript 3
978 yd Image with alt text: superscript 3

Answer 1

To find the volume of the smaller solid, we can use the ratio between the surface areas to find the ratio between the volumes.

Ratio of surface areas = (1057/384) = 2.759

Volume of larger solid = 1795 yd^3

Volume of smaller solid = (1795/2.759) = 651.55 ~ 652 yd^3

Therefore, the volume of the smaller solid is 652 yd^3.

Answer: 978 yd^3