The dimensions for a rectangular prism are x+2 for the length, x +3 for the width, and x for the height. What the volume of the prism expressed as a polynomial in standard form?

2 Answers
Scott F.
Mar 26, 2017

x^3+5x^2+6x

Explanation:

The volume of a rectangular prism is given by the formula V=lwh where V is the volume, l is the length, w is the width, and h is the height.

For this rectangular prism, V=(x+2)(x+3)(x). To put it in standard form it must be multiplied out. V=(x^2+5x+6)x=x^3+5x^2+6x

Veddesh phi
Mar 27, 2017

x^3+5x^2+6x

Explanation:

We know all the dimensions of the rectangular prism. We need to find its volume

color(blue)("volume"=lwh

Whers, l,w and h are length,width and height

So,

rarr(x+2)(x+3)(x)

Multiply (x+2) and (x+3) using the foil method

rarrx(x^2+5x+6)

color(green)(rarrx^3+5x^2+6x

It is already in the standard form (in decreasing powers)

Hope this helps....! :)

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