Which expression represents the volume of a triangular prism with length l, width w, and height h?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which expression represents the volume of a triangular prism with length l, width w, and height h?

Explanation:
Volume of a prism is found by multiplying the area of its base by how far it extends (the length). In a triangular prism, the base is a triangle. The area of a triangle is one-half of its base times its height, so with base w and height h, the base area is (1/2) w h. Multiply that by the length l to get the full volume: (1/2) w h × l, which is (1/2) l w h. This shows why the triangular prism has half the volume of a rectangular prism with the same l, w, and h.

Volume of a prism is found by multiplying the area of its base by how far it extends (the length). In a triangular prism, the base is a triangle. The area of a triangle is one-half of its base times its height, so with base w and height h, the base area is (1/2) w h. Multiply that by the length l to get the full volume: (1/2) w h × l, which is (1/2) l w h. This shows why the triangular prism has half the volume of a rectangular prism with the same l, w, and h.

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