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The base of a triangular prism is a right triangle with a base of 6 feet and a height of 8 feet. The height of the prism is 10 feet. Find the volume of the prism.

User Ric Tokyo
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Final answer:

To determine the volume of the triangular prism, calculate the area of the triangle base using the formula 1/2 × base × height and then multiply by the height of the prism. The volume is found to be 240 cubic feet.

Step-by-step explanation:

To find the volume of the triangular prism, you first need to calculate the area of the triangle base. The formula for the area of a triangle is 1/2 × base × height. Since the base of the triangle is 6 feet and the height is 8 feet, the area (A) can be calculated as follows:

A = 1/2 × 6 feet × 8 feet = 24 square feet

Next, using Equation 10.4.7 where the volume (V) of a prism is the cross-sectional area (A) times the height (h) of the prism, we find:

V = A × h = 24 square feet × 10 feet = 240 cubic feet.

Therefore, the volume of the prism is 240 cubic feet.

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