Question

The Volume of a Rectangular prism is V=2x³ 3x² - 11x + 6. It has a height of x-3 and a length of x + 2. What is the width of the prism?

Answer 1

The width of the prism is 2x - 1.

Hope this helps!

Explanation:

( there is no addition or subtraction sign between
`2x^(3)` and
`3x^(2)` )

The volume of a rectangular prism is Length*Width*Higth.

( 2x - 1 )*( x + 2 ) =
`( 2x^(2) +4x-x-2) = (2x^(2) +3x - 2)`

`(2x^(2) +3x-2)*(x-3 )` =
`(2x^(3) -6x^(2) +3x^(2) -9x-2x+6 ) = (2x^(3) -3x^(2) -11x+6)`

Which is the equation, so the width of the prism is 2x - 1.