Chapter 14.5, Problem 10CYU

To determine

To express: The volume of the cereal box as provided in the problem.

Answer to Problem 10CYU

The volume of the cereal box is $4x^3+2x^2-20x$ .

Explanation of Solution

Given information:

The cereal box is mentioned in the problem which has length $l$ , breadth $b$ , height $h$ .

Formula:

Volume of the cereal = $length*breadth*height$ .

Calculation:

Consider the statement that the mentioned gift box which has length $l$ , breadth $b$ , height $h$ .

The mentioned cereal box in the problem where $length=2x$ , $width=x-2$ , $height=x-3$

Recall that volume of the cuboid = $length*breadth*height$ .

Therefore the volume of cereal box in polynomial expression is $\left(2x\right)*\left(x-2\right)*\left(2x+5\right)\Rightarrow 4x^3+2x^2-20x$ .