Question
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)
Responses
100 square units
100 square units
200 square units
200 square units
75 square units
75 square units
25 square units
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)
Responses
100 square units
100 square units
200 square units
200 square units
75 square units
75 square units
25 square units
Answers
GPT-4o mini
The volume \( V \) of a right rectangular prism is given by the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
To find the area of the base, we can rearrange this formula:
\[
\text{Base Area} = \frac{V}{\text{Height}}
\]
Given that the volume \( V \) is 50 cubic units and the height is 2 units, we can substitute these values into the equation:
\[
\text{Base Area} = \frac{50}{2} = 25 \text{ square units}
\]
So, the area of the base is **25 square units**.
\[
V = \text{Base Area} \times \text{Height}
\]
To find the area of the base, we can rearrange this formula:
\[
\text{Base Area} = \frac{V}{\text{Height}}
\]
Given that the volume \( V \) is 50 cubic units and the height is 2 units, we can substitute these values into the equation:
\[
\text{Base Area} = \frac{50}{2} = 25 \text{ square units}
\]
So, the area of the base is **25 square units**.