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
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
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