Chapter SH, Problem 8.35EP

To determine

To find the dimensions of the prism.

  

Answer to Problem 8.35EP

Dimensions of the prism are x, $\left(2x-1\right)$, and $\left(3x+2\right)$.

Explanation of Solution

Given information:

The volume of the prism

  

Formula used:

V= $length\times breadth\times height$

Dimensions are l, b, and h

Calculation:

  

Common factor is x

  

Break middle term in the bracket

  

On solving,

  

Take common (3x+2),

  

Compare with the formula

Hence, dimensions of the prism are x, $\left(2x-1\right)$, and $\left(3x+2\right)$.