Question

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

Answer 1

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:

$\rm 4\times 24 + 36 = 132\; m^{2}$.