Answer :
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 is known, then the Pythagorean theorem can be used to find its slant height, F. The slant height is used to calculate the lateral area.
Let’s verify all the options:
A) A pyramid has only one base.
By definition, a pyramid has only one base
So, A is TRUE
B) The base of a pyramid is a polygon.
By definition, a pyramid is a polyhedron formed by a polygonal base.
So, B is TRUE
C) If the altitude of a right pyramid and the apothem of the base is known, then the Pythagorean theorem can be used to find its slant height.
Given, the right pyramid and if the length of the base is known. Then, we can find the half distance of the base and it will form a right-angled triangle. Hence Pythagorean theorem can be used to find its slant height.
So, C is TRUE
D) The slant height is always the same length as the base of the pyramid.
No, the slant height is not always the same as the base of the pyramid.
So, D is FALSE
E) The lateral faces of a pyramid are rectangles.
By definition, the shape of the lateral faces of the pyramids is triangular.
So E is FALSE
F) The slant height is used to calculate the lateral area.
The formula for the lateral surface area of the pyramid is given:
Lateral Surface Area = (P × L), where
P is the perimeter of the base
L is the slant height.
So F is TRUE
Hence the true options are A, B, C, and F.
Know more about “pyramids” here: https://brainly.com/question/14013519
#SPJ4
Disclaimer: The given question is incomplete. The complete question is mentioned below:
What information is true when calculating the surface area of a pyramid? Check all that apply.
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 is 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.
