Question

A square pyramid has sides of 8 m. Each face is an equilateral triangle.

What is the lateral area of the pyramid?

Answer 1

I think is the Option D

Answer 2

Lateral Area means Area of all four triangles

Now area of 1 triangle =
`(√(3))/(4) a^2 = (√(3))/(4) 8^2`

=
`(√(3))/(4) * 64 = 16√(3)` square meters

Now for four triangles we multiply by 4

So

Lateral area of pyramid =
`4* 16√(3) = 64√(3)` m^2

that is Option D