Question
Use right rectangular prism to find the area of the base when volume is 50 cubic feet and height is 4
Answers
GPT-4o mini
To find the area of the base of a right rectangular prism, you can use the formula for the volume of a prism:
\[
V = \text{Base Area} \times \text{Height}
\]
Where:
- \( V \) is the volume,
- \(\text{Base Area}\) is the area of the base,
- \(\text{Height}\) is the height of the prism.
In this case, you are given:
- Volume \( V = 50 \) cubic feet
- Height \( h = 4 \) feet
To find the base area, rearrange the formula for volume:
\[
\text{Base Area} = \frac{V}{\text{Height}}
\]
Substituting the given values:
\[
\text{Base Area} = \frac{50 \, \text{cubic feet}}{4 \, \text{feet}} = 12.5 \, \text{square feet}
\]
Thus, the area of the base of the right rectangular prism is \( 12.5 \) square feet.
\[
V = \text{Base Area} \times \text{Height}
\]
Where:
- \( V \) is the volume,
- \(\text{Base Area}\) is the area of the base,
- \(\text{Height}\) is the height of the prism.
In this case, you are given:
- Volume \( V = 50 \) cubic feet
- Height \( h = 4 \) feet
To find the base area, rearrange the formula for volume:
\[
\text{Base Area} = \frac{V}{\text{Height}}
\]
Substituting the given values:
\[
\text{Base Area} = \frac{50 \, \text{cubic feet}}{4 \, \text{feet}} = 12.5 \, \text{square feet}
\]
Thus, the area of the base of the right rectangular prism is \( 12.5 \) square feet.