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?

Answer 1

v=5x^2-100x+500 That is the answer

Answer 2

The volume of the new cardboard is
`5x^2-100x+500` cubic inches.

Explanation:

Let the sides of the original square cardboard = x inches

Since, Carissa cuts 5 in. by 5 in. squared out of each corner.

We have that,

Length of new cardboard =
`x-5-5=x-10` inches

Width of new cardboard =
`x-5-5=x-10` inches

Height of the new cardboard = 5 inches

So, Volume of the new cardboard = Length × Width × Height

i.e. Volume of the new cardboard =
`(x-10)(x-10)* 5`

i.e. Volume of the new cardboard =
`5x^2-100x+500` cubic inches.

Thus, the volume of the new cardboard is
`5x^2-100x+500` cubic inches.