SOLUTION: a rectangular box has a volume of 4 m^3. what is the volume of an identically shaped box whose surface area is four times as big ?
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Question 293181: a rectangular box has a volume of 4 m^3. what is the volume of an identically shaped box whose surface area is four times as big ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a rectangular box has a volume of 4 m^3.
:
Assume a box with dimensions, 2 by 2 by 1
Find the surface area
S.A. = 2(2^2) + 4(2*1)
S.A = 8 + 8
S.A = 16 sq/m
:
The relationship of the vol to the surface area 4:16 = 1:4
:
what is the volume of an identically shaped box whose surface area is four times as big ?
:
4 * 16 = 64 sq/m
:
Let x = volume of the larger box with 4 times the surface area
:
=
4x = 64
x = 64/4
x = 16 cu/m volume of the larger box
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