Problema Solution

A large plywood box has a volume of 576 ft3. Its length is 18 ft greater than its height, and its width is 2 ft less than its height. What are the dimensions of the box?

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A large plywood box has a volume of 576 ft3. Its length is 18 ft greater than its height, and its width is 2 ft less than its height. What are the dimensions of the box?

Solution:

The length is x and height is (x-18), the width is (x-20)

So

x(x-18)(x-20)=576

x=24

So the length is 24ft and height is 6ft, the width is 4 ft