Question

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a box without a top.
What equation can Carissa 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.

V = ________

Answer 1

Answer:

V = 5x² - 100x + 500

Step-by-step explanation:

Answer 2

The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula.  So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500