Question

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Answer 1

The expression that represents the surface area of the square based pyramid is 36 + 15 + 15 + 15 + 15

How to find the surface area of a square based pyramid?

The surface area of the pyramid is the sum of the area of the whole faces of the pyramid.

Therefore, the pyramid has 4 triangular faces and 1 square faces.

Therefore,

surface area of the pyramid = area of the square + 4(area of the triangle)

area of the square = 6² = 36

area of each triangular faces = 1 / 2 bh

where

• b = base area
• h = height

Therefore,

area of each triangular faces = 1 / 2 × 6 × 5 = 30 / 2  = 15

Hence, the expression is as follows:

surface area of the pyramid = 36 + 15 + 15 + 15 + 15

learn more on pyramid here:  brainly.com/question/17615619

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