One of Mr. Newman's architecture students states that prisms and pyramids are different shapes, but the volume of a pyramid is half the volume of a prism with the same dimensions. Another student argues that the volume of a pyramid is one-third the volume of a prism with the same dimensions. Who is correct? Explain.

Question

Nathan Roy

Mathematics

21 May, 12:18

One of Mr. Newman's architecture students states that prisms and pyramids are different shapes, but the volume of a pyramid is half the volume of a prism with the same dimensions. Another student argues that the volume of a pyramid is one-third the volume of a prism with the same dimensions. Who is correct? Explain.

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Abagail Cox · Answer 1

The first student because A triangular pyramid is a geometric solid with a base that is a triangle and all other faces are triangles with a common vertex. A triangular prism is ageometric solid with two bases that are congruent (identical), parallel triangles and all other faces are parallelograms.