Question on a math problem

Question

A box with the square base and no toppings we made from a square piece of cardboard by cutting 2 inch squares from each corner and folding up the side the boxes to hold 8450 in.³

your answer is: __in. By __ in.

Answer 1

So the 2-inch squares you cut from each corner, and the FOLDED UP -- these make the height of the box.

Volume = Length * Width * Height

Our volume is 8450, our height is 2

8450 = Length * Width * 2

Since the box has a square base, the length and the width are the same, so we will replace the width with Length

8450 = Length * Length * 2

Divide both sides by 2

4225 = Length²

Take the square root of both sides to find the length

65 = Length = Width because it has a square base.

So the dimensions are

65 in. by 65 in.