Question

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What is the volume of the pyramid?
432 ft3 48 ft3 150 ft3 540 ft3

The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volume of the larger solid?
1,798 ft3
702 ft3
239 ft3
917 ft3

Answer 1

Given:

Surface Area 1 = 312 ft^2
Surface Area 2 = 1198 ft^2
Volume 1 = 239 ft^3
Volume 2 = unknown

These two solids are similar, we can use ratio and proportion to solve for the volume 2:

SA1/SA2 = V1/V2

312 ft^2/1198 ft^2 = 239 ft^3 / V2

V2 = 917.70 ft^3