You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension. V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .

Given:

The volume of the rectangular prism is

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

It means, volume of a rectangular prism is the product of all dimensions.

We have,

Splitting the middle terms, we get

Splitting the middle term, we get

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

square root

step-by-step explanation: