Question

This is the question ​

Answer 1

Answer: 127.795 in^2

Explanation:

The area of any triangle is
`(1)/(2) \cdot \text{base} \cdot \text{height}`
`(1)/(2) \cdot \text{base} \cdot \text{height}`

The surface of this pyramid is composed of three slanted triangles and the base.

Area of slanted sides (3 of them):

The base of each is 6.1 -- the sides of the bottom triangle all have the same length. The height of a slanted side is 12.2 .

Area of one slanted side is .5(6.1)(12.2) = 37.21

There are 3 identical sides, so the area of all 3 is 3 x 37.21 = 111.63 .

Area of the pyramid's base:

The base of that triangle is 6.1, and its height is 5.3, so its area is

.5(6.1)(5.3) = 16.165

The total area of all four faces is 111.63 + 16.165 = 127.795