SOLUTION: The volumes of two similar solids are 729 m cubed and 64 m cubed. The surface area of the larger one is 648 m squared. What is the surface area of the smaller one?
a. 512
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Question 321140: The volumes of two similar solids are 729 m cubed and 64 m cubed. The surface area of the larger one is 648 m squared. What is the surface area of the smaller one?
a. 512 m squared
b. 128 m squared
c. 57 m squared
d. none of these
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volumes of two similar solids are 729 m cubed and 64 m cubed. The surface area of the larger one is 648 m squared. What is the surface area of the smaller one?
a. 512 m squared
b. 128 m squared
c. 57 m squared
d. none of these
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Volume is a function of the cube of the linear dimensions.
729 = 9^3, 64 = 4^3
729/64 --> 9/4 sides ratio
-----------------
Area is a function of the square of the linear dimensions.
(9/4)^2 = 81/16 area ratio
648/area = 81/16
area = 128 sq meters
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