# SOLUTION: The surface areas of two similar solids are 311 ft^2 and 1,037 ft^2. The volume of the larger solid is 1755 ft^3. What is the volume of the smaller solid? Also, the volume of tw

Algebra ->  Algebra  -> Surface-area -> SOLUTION: The surface areas of two similar solids are 311 ft^2 and 1,037 ft^2. The volume of the larger solid is 1755 ft^3. What is the volume of the smaller solid? Also, the volume of tw      Log On

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 Click here to see ALL problems on Surface-area Question 205535: The surface areas of two similar solids are 311 ft^2 and 1,037 ft^2. The volume of the larger solid is 1755 ft^3. What is the volume of the smaller solid? Also, the volume of two similar solids are 729m^3 and 125 m^3. The surface area of the larger solid is 324m^3. What is the surface area of the smaller solid?Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website!The surface areas of two similar solids are 311 ft^2 and 1,037 ft^2. The volume of the larger solid is 1755 ft^3. What is the volume of the smaller solid? ------------------- The ratio of area is the square of the ratio of any linear dimension. The ratio of volume is the cube of the ratio of any linear dimension. Linear ratio = sqrt(311/1037) Volume ratio = (sqrt(311/1037))^3 Smaller volume = 1755*(sqrt(311/1037))^3 SV = 288.24 ft^3 ------------------- Also, the volume of two similar solids are 729m^3 and 125 m^3. The surface area of the larger solid is 324m^3. What is the surface area of the smaller solid? Volume ratio = 125/729 Linear ratio = cube root of volume ratio = 5/9 Smaller area = 324*(5/9)^2 = 324*25/81 = 100 m^2 (you have m^3 for the area)