document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #155213 by Alan3354(69443)\"\" \"About 
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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?
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\n" ); document.write( "The ratio of area is the square of the ratio of any linear dimension.
\n" ); document.write( "The ratio of volume is the cube of the ratio of any linear dimension.
\n" ); document.write( "Linear ratio = sqrt(311/1037)
\n" ); document.write( "Volume ratio = (sqrt(311/1037))^3
\n" ); document.write( "Smaller volume = 1755*(sqrt(311/1037))^3
\n" ); document.write( "SV = 288.24 ft^3
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\n" ); document.write( "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?
\n" ); document.write( "Volume ratio = 125/729
\n" ); document.write( "Linear ratio = cube root of volume ratio = 5/9
\n" ); document.write( "Smaller area = 324*(5/9)^2 = 324*25/81 = 100 m^2 (you have m^3 for the area) \n" ); document.write( "
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