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06-12-2019
Mathematics

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A box has a square base with side length x inches and its height is 9 inches more than the length of the base.
Write a polynomial in standard form giving the volume of the box.

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06-12-2019

Answer:

V = x³ +9x²

Step-by-step explanation:

The volume is the product of the area of the base, and the height:

V = Bh

When the base is a square of dimension x, then its area is ...

B = x²

When the height is 9 inches more than the base length, it is ...

h = x +9

So, the volume is ...

V = (x²)(x +9)

V = x³ +9x² . . . . . cubic inches

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