How do you write a polynomial for the volume of a box?
Find a polynomial that gives the volume of a box for a given x. length is 16 inches ; width is 6 inches.
To write a polynomial for the volume of a box, we need to understand the formula for calculating the volume of a rectangular prism (which is the shape of a box). The formula for the volume of a rectangular prism is given by:
Volume = Length × Width × Height
Now, let's break down the process step by step to create a polynomial expression for the volume of a box:
Step 1: Define variables
First, we need to assign variables to represent the different dimensions of the box. Typically, these variables are represented as length (L), width (W), and height (H).
Step 2: Express the formula
Using the variables, we can express the formula for the volume of a rectangular prism as:
Volume = L × W × H
Step 3: Combine like terms
To create a polynomial, we need to combine like terms. Since each of the variables represents the length, width, and height, respectively, there are no like terms to combine.
Step 4: Expand the expression
The expression is already in its expanded form, so we do not need to perform any further expansions.
Step 5: Simplify (if possible)
If there are any simplifications or common factors that can be factored out, you can perform them at this step. However, in the case of the volume of a box, there are no simplifications to be made.
Therefore, the polynomial expression for the volume of a box is the formula itself:
Volume = L × W × H