Volume of a triangular prism is calculated using which formula?

Volume of a triangular prism is calculated using which formula?

• A. Volume = 1/2 base x height x depth
• B. Volume = base x height
• C. Volume = length x width x depth
• D. Volume = 1/3 base x height x depth

Answer: (A)

Volume of a triangular prism is found by multiplying the area of the triangular base by the depth of the prism. The area of a triangle is base × height ÷ 2, so the full formula becomes 1/2 × base × height × depth. This matches the given option. For example, with base 6, height 4, and depth 10, the volume is 1/2 × 6 × 4 × 10 = 120 cubic units. The other forms aren’t correct for a triangular prism: base × height only gives the triangle’s area, length × width × depth is for a rectangular prism, and 1/3 × base × height × depth applies to pyramids/cones, not prisms.

Volume of a triangular prism is found by multiplying the area of the triangular base by the depth of the prism. The area of a triangle is base × height ÷ 2, so the full formula becomes 1/2 × base × height × depth. This matches the given option. For example, with base 6, height 4, and depth 10, the volume is 1/2 × 6 × 4 × 10 = 120 cubic units. The other forms aren’t correct for a triangular prism: base × height only gives the triangle’s area, length × width × depth is for a rectangular prism, and 1/3 × base × height × depth applies to pyramids/cones, not prisms.