Sam wants to build a toy box in the shape of a rectangular prism that will hold 36 cubic feet. If the height needs to be 1 foot less than the width and the length is twice
the width, find the height of the toy box.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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