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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 8 less than its height. What is the height of the box?

 Jan 30, 2021
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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 8 less than its height. What is the height of the box?

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Width = 1w        Length = 2w          Height = 2w + 8

 

w(2w) + w(2w + 8) + 2w(2w + 8) = 50           w = 1/2 ( - 3 + √34) = 1.415475947

 

h = 2w + 8 ≈ 10.831

 Jan 30, 2021

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