Question

Find the total area for the regular pyramid T.A. =

Answer 1

Answer: = 144 + 36√3

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Answer 2

The answer to your question is At = 48 + 36
`√(3)`

Explanation:

Area = Area of the base + Lateral area

a) Area of the base

Area = length x height / 2

length = 12

height² = 12² - 6²

= 144 - 36

= 108

height =
`√(108)` = 6
`√(3)`

Area = 12 x 6
`√(3) / 2`

= 36
`√(3)`

b) Lateral area

height² = 10² - 6²

= 100 - 36

= 64

height = 8

Area = 12 x 8/2

= 48

c) Total area

At = 48 + 36
`√(3)`