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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 a...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)
200 square units
25 square units
100 square units
75 square units
200 square units
25 square units
100 square units
75 square units
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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, we know the volume \( V = 50 \) cubic units and the height \( h = 2 \) units. We can rearrange the formula to find the area of the base \( A \):
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50}{2} = 25 \text{ square units}
\]
Therefore, the area of the base is **25 square units**.
\[
V = \text{Base Area} \times \text{Height}
\]
In this case, we know the volume \( V = 50 \) cubic units and the height \( h = 2 \) units. We can rearrange the formula to find the area of the base \( A \):
\[
A = \frac{V}{h}
\]
Substituting the given values:
\[
A = \frac{50}{2} = 25 \text{ square units}
\]
Therefore, the area of the base is **25 square units**.
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