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densk [106]
3 years ago
9

What is the total surface area of the square pyramid below? question above ​

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

Answer:

132 m².

Step-by-step 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 \frac{1}{2}\times \text{Base}\times \text{Height} = \rm \frac{1}{2} \times 6 \times 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\times 24 + 36 = 132\; m^{2}.

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