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A regular triangular pyramid has a base and lateral faces that are congruent equilateral triangles. It has a lateral surface area of 81 square feet. What is the surface area of the regular triangular pyramid?

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The surface area of the regular triangular pyramid is 108 square centimetres.

Step-by-step explanation:

What is a regular triangular pyramid?

A triangular pyramid is a three-dimensional shape that has a triangular base and three triangular faces.

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The surface area of a triangular pyramid is the sum of the areas of the four faces of the pyramid.

What is the surface area?

The area of one face = lateral surface area / 3

81 / 3 = 27

The surface area = 27 x 4 = 108
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