You have to make a square-bottomed, non lidded box with a height of three inches and a volume of approximately 42 cubic inches. you will be taking a piece of cardboard, cutting three-inch squares from each corner, scoring between the corners, and folding up the edges. what should be the dimensions of the cardboard, to the nearest quarter inch?

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus