Question

What is the total surface area of the square pyramid?

Answer 1

Answer:

The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.

your answer is 380

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Answer 2

Given :

• Length of a side of the square base = 10 m
• Slant height of the square pyramid = 14 m

To find : The total surface area of the square pyramid.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here,

The total surface area = Area of square base + [4× area of lateral (triangular) surface]

(We have multiplied 4 with the lateral surface area, because there are 4 lateral surfaces in the given square pyramid.)

Square base :

• Area = (Length of a side)²
• Area = (10)² = 100 square meters

Lateral (triangular) surface :

• Area = ½ × Base × Height
• Area = ½ × 10 × 14 = 70 square meters

So,

Total surface area :

= Area of square base + [4× area of lateral (triangular) surface]

= [100 + (4 × 70)] square meters

= (100+280) square meters

= 380 square meters

Hence, the total surface area of the square pyramid is 380 square meters.