Question
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?
(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
(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
Answers
GPT 3.5
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
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