SOLUTION: a box with a square base has a surface area (including the top) of {{{3 m^2}}}. express the volume V of the box as a function of the width W of the base
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-> SOLUTION: a box with a square base has a surface area (including the top) of {{{3 m^2}}}. express the volume V of the box as a function of the width W of the base
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Question 63461: a box with a square base has a surface area (including the top) of . express the volume V of the box as a function of the width W of the base Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! a box with a square base has a surface area 3 SQ.METRES.(including the top) of . express the volume V of the box as a function of the width W of the base
S.A = A = 6*W^2
W^2 = A/6
W = SQRT(A/6)
V=W^3 = [SQRT(A/6)]^3
FOR A = 3,WE HAVE
W=SQRT(1/2)
V=[SQRT(1/2)]^3 = 1/[2SQRT(2)]=SQRT(2)/4
