Question

Which are true about the pyramid? Check all that apply.

Answer 1

The statements that are true about the pyramid are

• The base of the pyramid is a square with four sides, each measuring 756 feet.

• The slant height of the pyramid is 612 feet.

• All four triangular faces are congruent.

• The pyramid has four lateral faces.

Properties of a Square pyramid

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the sides of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

• The base of the pyramid is a square with four sides, each measuring 756 feet.

• The slant height of the pyramid is 612 feet.

• All four triangular faces are congruent.

• The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

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