5
AssignmentMultiple Select

Area of Composite Figures

Question 5 • *Integrated Math II Full

What information is true when calculating the surface area of a pyramid? Check all that apply.A pyramid has only one base.The base of a pyramid is a polygon.If the altitude of a right pyramid and the apothem of the base are known, then the Pythagorean theorem can be used to find its slant height.The slant height is always the same length as the base of the pyramid.The lateral faces of a pyramid are rectangles.The slant height is used to calculate the lateral area.

Answer
A
A pyramid has only one base.
B
The base of a pyramid is a polygon.
C
If the altitude of a right pyramid and the apothem of the base are known, then the Pythagorean theorem can be used to find its slant height.
D
The slant height is always the same length as the base of the pyramid.
E
The lateral faces of a pyramid are rectangles.
F
The slant height is used to calculate the lateral area.

Explanation

A pyramid has one polygonal base, so A and B are true. For a right pyramid, the altitude, the base’s apothem, and the slant height form a right triangle; the Pythagorean theorem can find the slant height, so C is true. Slant height is used to calculate lateral area, making F true. The lateral faces are triangles, not rectangles, and slant height is not always the same length as the base, so D and E are false.

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