Asked by A random connexus student
The volumes of two similar solids are 216 ft and 1331 ft. The surface area of the smaller solid is 180 ft. What is the surface area of the larger solid?
Answers
Answered by
Damon
180 ft^2 * (1311 / 216)^2
for similar things
area goes as L^2
volume as L^3
for similar things
area goes as L^2
volume as L^3
Answered by
Reiny
volumes of similar shapes are proportional to the cubes of their corresponding sides
so 216 : 1331 = side1^3/side2^3
side1 : side2 = 6 : 11
the areas of similar shapes are proportional to the square of their corresponding sides
180 : x = 6^2 : 11^2
180/x = 36/121
36x = 21780
x = 605
The larger has a surface area of 605 ft^2
so 216 : 1331 = side1^3/side2^3
side1 : side2 = 6 : 11
the areas of similar shapes are proportional to the square of their corresponding sides
180 : x = 6^2 : 11^2
180/x = 36/121
36x = 21780
x = 605
The larger has a surface area of 605 ft^2
Answered by
A random connexus student
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