Question
Using the formula for the volume of a right rectangular prism, what is the area of the base when the volume is 50 cubic units and the height is 2? (1 point)
• 25 square units
• 100 square units
• 200 square units
• 75 square units
• 25 square units
• 100 square units
• 200 square units
• 75 square units
Answers
GPT-4o mini
The volume \( V \) of a right rectangular prism is calculated using the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
We are given that the volume \( V = 50 \) cubic units and the height \( h = 2 \) units. Let's denote the base area as \( A \).
Using the formula, we can rearrange it to find the base area:
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50}{2} = 25 \text{ square units}
\]
Therefore, the area of the base is \( 25 \) square units. The correct answer is:
• 25 square units
\[
V = \text{Base Area} \times \text{Height}
\]
We are given that the volume \( V = 50 \) cubic units and the height \( h = 2 \) units. Let's denote the base area as \( A \).
Using the formula, we can rearrange it to find the base area:
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50}{2} = 25 \text{ square units}
\]
Therefore, the area of the base is \( 25 \) square units. The correct answer is:
• 25 square units