A regular square pyramid has a height of 6 and a base with sides of length 12. What is the: Lateral area of the pyramid?

Lateral area of the pyramid is 144

Step-by-step explanation:

The formula for determining the lateral surface area of a regular pyramid is expressed as

Lateral area = (perimeter of base x slant height of pyramid) /2

From the information given,

Length of base = 12

Since the base is a square, the perimeter of the base is

4L = 4 × 12 = 48

Height of pyramid = 6

Therefore, lateral surface area of the pyramid is

(48 × 6)/2 = 288/2 = 144

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