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?

smallcrystalslpxs

smallcrystalslpxs

Answered question

2023-03-16

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?

Answer & Explanation

esberquemlrb4

esberquemlrb4

Beginner2023-03-17Added 6 answers

The volume of a rectangular prism is given by the formula V = l w h 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 + 5 x + 6 ) x = x 3 + 5 x 2 + 6 x
Bianca Medina

Bianca Medina

Beginner2023-03-18Added 2 answers

We are aware of the rectangular prism's exact dimensions. We must determine its volume.
volume = l w h
Whers, l , w and h are length,width and height
So,
( x + 2 ) ( x + 3 ) ( x )
Multiply ( x + 2 ) and ( x + 3 ) using the foil method
x ( x 2 + 5 x + 6 )
x 3 + 5 x 2 + 6 x
It's already in the conventional format (in decreasing powers)

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