Question

Find the surface area of the pyramid to the nearest whole number.

Answer 1

408 sq. in.

Explanation:

The total surface area of the pyramid is the sum of all 4 faces (each of them a triangle) and square base.

Triangle area is
`(1)/(2)bh` where b is base and h is height.

base of triangle is 12 and height is 11

So area of each triangle is
`(1)/(2)(12)(11)=66`

There are 4 of them, so total is 66 * 4 = 264

Now, square has an area of
`s^2` where s is the side length.

It is given s = 12, so the area of the square base is:

`(12)^2=144`

Total Surface Area of the Pyramid is 264 + 144 = 408 sq. in.