Question

What is the total surface area of the square pyramid below?

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Answer 1

132 m².

Explanation:

What's the surface area of each lateral face of this pyramid?

Each lateral face of this pyramid is a triangle, with

• a height of 8 meters
• on a base 6 meters.

The base of this pyramid is a square. As a result, all four lateral sides are congruent. The area of each of these triangle is thus

`\displaystyle (1)/(2)* \text{Base}* \text{Height} = \rm (1)/(2) * 6 * 8 = 24\; m^(2)`.

The base of this pyramid is a square. The length of a side of this square is 6 meters. The area of the base will be

`\text{Side}^(2) = \rm 6^(2) = 36\; m^(2)`.

Put the five faces together to get the total surface area of this square pyramid:

`\rm 4* 24 + 36 = 132\; m^(2)`.