Question

Consider a rectangular prism with length 4 and width and height d.

Write an expression for the volume of the prism in terms of d.

Answer 1

The volume of the rectangular prism is 4d²

To determine the volume of the rectangular prism, we need to take note of the formula.

We have that the formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

Such that;

• V is the volume
• l is the length
• w is the width
• h is the height

Now, substitute the values, we have

Volume = d × 4 × d
Multiply the values

Volume = 4d²

Answer 2

Volume of rectangular prism = 4d² unit²

Explanation:

Given:

Length of rectangular prism = 4 unit

Width of rectangular prism = d unit

Height of rectangular prism = d unit

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = [l][b][h]

Volume of rectangular prism = [4][d][d]

Volume of rectangular prism = 4d² unit²