Question

Find the total area of the regular pyramid? T.A.=

Can you fill in the blanks and also explain how you got your answer?

Answer 1

265.24

Explanation:

The sqrt is at the bottom of the picture.

Answer 2

`A = 54 \, √(3) + 18 \, √(91)`

Explanation:

Total area of a right hexagonal pyramid is computed as follows:

`A = (3 √(3))/(2) \, a^2 + 3 \, a \sqrt{h^2 + (3 \, a^2)/(4)}`

where a is the base edge and h is the height. Replacing with a = 6 and h = 8 we get:

`A = (3 √(3))/(2) \, 6^2 + 3 \, 6 \, \sqrt{8^2 + (3 \, 6^2)/(4)}`

`A = 54 \, √(3) + 18 \, √(91)`