Question

What is the volume of the following prism? a prism which has a right triangle for the base and a height of 8 inches. the legs of the right triangle are 4 inches and 3 inches. a. 480 in³ b. 48 in³ c. 108 in³ d. 96 in³

Answer 1

The volume of the prism is 48 cubic inches.

Step-by-step explanation:

To find the volume of the prism, we need to multiply the area of the base by the height.

The base is a right triangle with legs of 4 inches and 3 inches. The area of a right triangle is given by A = 1/2 * base * height, so the area of the base is (1/2) * 4 * 3 = 6 square inches.

Now, since the height of the prism is given as 8 inches, we can calculate the volume by multiplying the area of the base by the height: V = 6 square inches * 8 inches = 48 cubic inches. Therefore, option b is correct.

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