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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jgajaifwh jgajaifwh · Answer 1 · 2019-05-06T12:05:07+02:00

Answer:

3x^2 - 36x + 108

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AnkitM AnkitM · Answer 2 · 2022-05-18T15:44:58+02:00

The volume of the box is 3x²- 36x + 108, where, x is the side length of the original piece of cardboard.

Volume is the amount of space taken up by an object. It is measured in cubic units.

According to the given problem,

Length of the side of the original piece of cardboard = x

We know, the the height of the box will be 3",

The dimensions of base will be (x-6) by (x-6)

The volume equation:

V = Length × width × height

= (x-6) * (x-6) × 3

= [(x-6)²] × 3

= 3( x² - 12x + 36)

= 3x² - 36x + 108

Hence, we can conclude that the volume (V) of the box is 3x² - 36x + 108.

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