The statements which correctly describes a cross section of the square pyramid are:
1) A cross section parallel to the base is a square with side lengths of less than 2 ft.
2) A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
3) A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid
What is square pyramid?
"It is a pyramid that has a square base and four triangular faces"
For given example,
Consider a square pyramid ABCDE with side length of the square base is 2 ft.
Consider the following diagrams.
Figure (1) represents cross section PQRS parallel to the base.
From this we can observe that, a cross section PQRS which is parallel to the base is a square with side lengths of less than 2 ft.
Figure (2) represents cross section ALM with perpendicular to the base through the top vertex.
From this figure, a cross section ALM which is perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
Figure (3) represents cross section PQRS that is perpendicular to the base that does not pass through the top vertex of the pyramid.
From this figure, a cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
Learn more about a cross section of the square pyramid here:
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