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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 24, 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 = (-3 + √34) /2

 

Height = 2w + 8 ≈ 10.831

 Jan 26, 2021

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