8
QuizMultiple Choice

Three-Dimensional Figures and Cross Sections — Quiz

Question 8 • Mathematics III

Which pair of figures has the same number of faces as vertices?

Answer
A
triangular prism and triangular pyramid
B
rectangular pyramid and triangular pyramid
C
rectangular pyramid and rectangular prism
D
triangular prism and rectangular prism

Explanation

A rectangular pyramid has 5 faces and 5 vertices: 4 triangular side faces plus its rectangular base, and 4 base vertices plus 1 apex. A triangular pyramid has 4 faces and 4 vertices. Both figures have the same number of faces as vertices, so the correct choice is B, rectangular pyramid and triangular pyramid.

AI-written and checked against the verified answer.

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