Trinity takes a square piece of cardboard and cuts 3 in. by 3 in. squares out of each corner. She folds the sides up to make a box without a top. What equation can Trinity use to determine the volume of the box, where x is the side length of the original piece of cardboard? Express the equation in standard form. Enter your answer in the box. V =

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Mathematics

Monica

7 August, 03:15

Trinity takes a square piece of cardboard and cuts 3 in. by 3 in. squares out of each corner. She folds the sides up to make a box without a top. What equation can Trinity use to determine the volume of the box, where x is the side length of the original piece of cardboard? Express the equation in standard form. Enter your answer in the box. V =

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Amaris Figueroa · Answer 1

If your square has a measurement of sides x and you are cutting away 3 inches on each corner, your new side measurements are (x-6). To find the volume equation, you have (x-6) (x-6) x. Now do the math to get a cubic (which is what volume is!) The volume is x^3 - 12x^2 + 36x