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

192 cubic inches
192 cubic inches

2,304 cubic inches
2,304 cubic inches

768 cubic inches
768 cubic inches

96 cubic inches

1 answer

To find the volume of a prism, you can use the formula:

\[ \text{Volume} = \text{Base Area} \times \text{Height} \]

In this case, the base area of the octagonal prism is given as 24 square inches, and the height is 8 inches.

Plugging in the values:

\[ \text{Volume} = 24 , \text{square inches} \times 8 , \text{inches} \]

Calculating the volume:

\[ \text{Volume} = 192 , \text{cubic inches} \]

Thus, the volume of the octagonal prism is 192 cubic inches.