A rectangular prism has a length of 5ft, a height of 20ft, and a width of 6ft. What is its volume, in cubic ft?

1. Break Down the Problem

To find the volume of a rectangular prism, we need to use the formula: $V = l \times w \times h$ where $V$ is the volume, $l$ is the length, $w$ is the width, and $h$ is the height.

2. Relevant Concepts

Given:

• Length $l = 5 \, \text{ft}$
• Width $w = 6 \, \text{ft}$
• Height $h = 20 \, \text{ft}$

3. Analysis and Detail

We will substitute the values into the volume formula.

$V = 5 \, \text{ft} \times 6 \, \text{ft} \times 20 \, \text{ft}$

Let's perform the calculations step by step:

1. First calculate the area of the base: $A = l \times w = 5 \, \text{ft} \times 6 \, \text{ft} = 30 \, \text{ft}^2$
2. Then multiply by the height to find the volume: $V = A \times h = 30 \, \text{ft}^2 \times 20 \, \text{ft} = 600 \, \text{ft}^3$

4. Verify and Summarize

The calculations confirm that the volume of the rectangular prism is $600 \, \text{ft}^3$.

Final Answer

The volume of the rectangular prism is $600 \, \text{cubic ft}$.