The surface areas of two similar solids are 1,008^cm and 1,372 cm^ The volume of the larger solid is 1,801cm ^3. Find the volume of the smaller solid. Round your answer to the nearest hundredth. A. 252.15cm^3 B. 1,134.16cm ^3 C. 1,323.18cm ^3 D. 1,372.19cm ^3

Question

Michelle

Mathematics

28 January, 11:30

The surface areas of two similar solids are 1,008^cm and 1,372 cm^ The volume of the larger solid is 1,801cm ^3. Find the volume of the smaller solid. Round your answer to the nearest hundredth. A. 252.15cm^3 B. 1,134.16cm ^3 C. 1,323.18cm ^3 D. 1,372.19cm ^3

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Answers (1)

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Semaj Walsh · Answer 1

The ratio of the volumes of the smaller to larger solid equals the ratio of the surface area to the power 3/2.

= 1008^ (3/2) : 1372^ (3/2) = 32003 : 50820

So volume of the smaller solid

= 1801 * 32003 / 50820 = 1134 cm^3

It's B