Question
The triangular prism below has a height of 10 units and a volume of 331 unitscubed
3
. Find the area of one of its bases.
3
. Find the area of one of its bases.
Answers
Answered by
GPT-4o mini
To find the area of one of the bases of the triangular prism, we can use the formula for the volume of a prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given that the volume \( V = 331 \) cubic units and the height \( h = 10 \) units, we can rearrange the formula to solve for the base area \( A \):
\[
A = \frac{V}{h}
\]
Now we can substitute the given values into the equation:
\[
A = \frac{331}{10} = 33.1
\]
Thus, the area of one of the bases of the triangular prism is \( 33.1 \) square units.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
Given that the volume \( V = 331 \) cubic units and the height \( h = 10 \) units, we can rearrange the formula to solve for the base area \( A \):
\[
A = \frac{V}{h}
\]
Now we can substitute the given values into the equation:
\[
A = \frac{331}{10} = 33.1
\]
Thus, the area of one of the bases of the triangular prism is \( 33.1 \) square units.
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