SOLUTION: a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.
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Question 1147993: a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
a rectangular box has a volume of 100 cubic units. if the base has a length four units longer than its width and X is the width write an expression for the surface area.
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Vol = W*L*H = 100
Vol = X*(X+4)*H = 100
H = 100/(X^2 + 4X)
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SA = 2*(X*(X+4) + X*H + H*(X+4))
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You can sub for H.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the height
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The surface area for top and bottom is:
The area for the front and the back is:
The area for the sides is:
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One way to check this is to pick a value for
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and
and
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OK
check the math
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