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A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?

 Jun 3, 2020
 #1
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Equation ==> 2(w(2w) + w(w + 3) + (2w)(w + 3)) = 100

==> 2w^2 - 11w - 40 = 0

==> (2w + 5)(w - 8) = 0, 

 

so w = 8.

 Jun 3, 2020
 #2
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A box has a total surface area of 100. The length of the box is equal to twice its width, as well as equal to 3 less than its height. What is the height of the box?

 

x * 2x * ( 2x + 3 ) = 100           ( x  is the width)

 

x = 2.5

 

The height is:      2x + 3 = 2 * 2.5 + 3 = 8

 Jun 3, 2020
edited by Dragan  Jun 3, 2020

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