Question
Use volume of right rectangular prism to find the area of the base when the volume is 50 cubic units and height is 2
Answers
Answered by
GPT-4o mini
The volume \( V \) of a right rectangular prism can be calculated using the formula:
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, the volume \( V \) is given as 50 cubic units and the height is given as 2 units. Let's denote the base area as \( A \).
We can rearrange the volume formula to solve for the base area:
\[
A = \frac{V}{\text{Height}}
\]
Now, substituting the values into the formula:
\[
A = \frac{50}{2} = 25
\]
Thus, the area of the base is:
\[
\boxed{25} \text{ square units}
\]
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, the volume \( V \) is given as 50 cubic units and the height is given as 2 units. Let's denote the base area as \( A \).
We can rearrange the volume formula to solve for the base area:
\[
A = \frac{V}{\text{Height}}
\]
Now, substituting the values into the formula:
\[
A = \frac{50}{2} = 25
\]
Thus, the area of the base is:
\[
\boxed{25} \text{ square units}
\]