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A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two olids?

A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two olids?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question 6 of 40** A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two solids? **Diagrams Explanation:** - The first diagram depicts a cone, characterized by a circular base and height leading to a single apex point. - The second diagram shows a pyramid, recognized by its polygonal base (in this case, suggested as triangular) converging to a single apex. **Options:** A. The vertical cross-sections of the prisms at the same width must have the same area. B. The cross-sections of the prisms are the same shape. C. The area of the cross-sections of the prisms are multiples of each other. D. The horizontal cross-sections of the prisms at the same height must have the same area.
Transcribed Image Text:**Question 6 of 40** A pyramid and a cone are both 12 centimeters tall and have the same volume. What statement must be true about the two solids? **Diagrams Explanation:** - The first diagram depicts a cone, characterized by a circular base and height leading to a single apex point. - The second diagram shows a pyramid, recognized by its polygonal base (in this case, suggested as triangular) converging to a single apex. **Options:** A. The vertical cross-sections of the prisms at the same width must have the same area. B. The cross-sections of the prisms are the same shape. C. The area of the cross-sections of the prisms are multiples of each other. D. The horizontal cross-sections of the prisms at the same height must have the same area.
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