Question

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

179 in2


230 in2


115 in2


186 in2

Answer 1

179 in^2

Explanation:

Given:

A rectangular pyramid

h (side height) = 7,2 in

l (base length) = 8 in

Find: A (surface area) - ?

The surface area is equal to the sum of all sides' areas

First, let's find the area of the base (I assume, this is a square, since nothing else is given):

`a(base) = {8}^(2) = 64 \: {in}^(2)`

Now, let's find the lateral surface (4 triangles):

`a(lateral) = 4 * (1)/(2) * 8 * 7.2 = 115.2 \: {in}^(2)`

Finally, let's add these together and we'll get the total surface area:

`a(surface) = 64 + 115.2 = 179.2 \: {in}^(2)`≈179 in^2