The surface areas of two similar solids are 384 yd and 1,057 yd. The volume of the larger solid is 1,795 yd. What is the volume of the smaller solid?
(1 point)
Responses
1,795 yd
1,795 yd Image with alt text: superscript 3
1,082 yd
1,082 yd Image with alt text: superscript 3
393 yd
393 yd Image with alt text: superscript 3
978 yd
393 yd
To find the volume of the smaller solid, we can set up a ratio of the surface areas and volumes of the two solids:
384 / 1,057 = x / 1,795
Cross multiply to solve for x:
384 * 1,795 = 1,057 * x
689,280 = 1,057x
x = 689,280 / 1,057
x = 652.63 yd (approx.)
Therefore, the volume of the smaller solid is approximately 652 yd.