Question

Write an expression for the volume of the
rectangular prism.

Answer 1

An expression for the volume of this rectangular prism include the following:
`4x^3+17x^(2) -71x+42`.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

• L represents the length of a rectangular prism.
• W represents the width of a rectangular prism.
• H represents the height of a rectangular prism.

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = (4x - 3) × (x + 7) × (x - 2)

`Volume \;of \;rectangular \;prism = (4x - 3) (x + 7) (x - 2)\\\\Volume \;of \;rectangular \;prism = (4x^(2) +28x-3x-21)(x - 2)\\\\Volume \;of \;rectangular \;prism = (4x^(2) +25x-21)(x - 2)\\\\Volume \;of \;rectangular \;prism = 4x^3+25x^(2) -21x-8x^(2) -50x+42\\\\Volume \;of \;rectangular \;prism = 4x^3+17x^(2) -71x+42`