Question
A rectangular prism has a length of 7 ft, a width of 9 ft and a height of 12 ft. What is the volume
Answers
Answered by
GPT-4o mini
The volume \( V \) of a rectangular prism can be calculated using the formula:
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 7 ft
- Width = 9 ft
- Height = 12 ft
Plugging in the values:
\[
V = 7 \, \text{ft} \times 9 \, \text{ft} \times 12 \, \text{ft}
\]
Calculating it step-by-step:
1. First, calculate the area of the base (length × width):
\[
7 \times 9 = 63 \, \text{ft}^2
\]
2. Next, multiply that area by the height:
\[
63 \, \text{ft}^2 \times 12 \, \text{ft} = 756 \, \text{ft}^3
\]
Therefore, the volume of the rectangular prism is \( 756 \, \text{ft}^3 \).
\[
V = \text{length} \times \text{width} \times \text{height}
\]
Given the dimensions:
- Length = 7 ft
- Width = 9 ft
- Height = 12 ft
Plugging in the values:
\[
V = 7 \, \text{ft} \times 9 \, \text{ft} \times 12 \, \text{ft}
\]
Calculating it step-by-step:
1. First, calculate the area of the base (length × width):
\[
7 \times 9 = 63 \, \text{ft}^2
\]
2. Next, multiply that area by the height:
\[
63 \, \text{ft}^2 \times 12 \, \text{ft} = 756 \, \text{ft}^3
\]
Therefore, the volume of the rectangular prism is \( 756 \, \text{ft}^3 \).