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?

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Аноним Аноним · Answer 1 · 2017-04-25T22:29:46+02:00

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

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wagonbelleville wagonbelleville · Answer 2 · 2019-03-27T09:09:45+01:00

Answer:

The volume of the new cardboard is [tex]5x^2-100x+500[/tex] cubic inches.

Step-by-step 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 = [tex]x-5-5=x-10[/tex] inches

Width of new cardboard = [tex]x-5-5=x-10[/tex] inches

Height of the new cardboard = 5 inches

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

i.e. Volume of the new cardboard = [tex](x-10)(x-10)\times 5[/tex]

i.e. Volume of the new cardboard = [tex]5x^2-100x+500[/tex] cubic inches.

Thus, the volume of the new cardboard is [tex]5x^2-100x+500[/tex] cubic inches.