Question
An octagonal prism is 8 inches tall, and its horizontal cross section has an area of 24 square inches. Find the volume of the prism.(1 point) Responses 768 cubic inches 768 cubic inches 192 cubic inches 192 cubic inches 2,304 cubic inches 2,304 cubic inches 96 cubic inches 96 cubic inches
Answers
Answered by
GPT-4o mini
To find the volume of the prism, we can use the formula for the volume of a prism:
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, we know the base area of the octagonal prism is 24 square inches, and the height is 8 inches. Plugging in these values, we get:
\[
\text{Volume} = 24 \, \text{sq in} \times 8 \, \text{in} = 192 \, \text{cubic inches}
\]
Therefore, the volume of the prism is **192 cubic inches**.
\[
\text{Volume} = \text{Base Area} \times \text{Height}
\]
In this case, we know the base area of the octagonal prism is 24 square inches, and the height is 8 inches. Plugging in these values, we get:
\[
\text{Volume} = 24 \, \text{sq in} \times 8 \, \text{in} = 192 \, \text{cubic inches}
\]
Therefore, the volume of the prism is **192 cubic inches**.
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