Question

A square pyramid has 1 square base and 4 triangular faces. Find its surface area. A. The area of the base is ________ square centimeters. B. The area of the four faces is ______ square centimeters. C. The surface area is ___________ square centimeters.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

I will answer this question with the attached square pyramid

From the attached pyramid, we have:

$Base\ Length = 20m$

So, the base area is:

$Area = Length * Length$

$A_1= 20m*20m$

$A_1= 400m^2$

The dimension of each of the 4 triangles is:

$Height = 16.4m$

$Base = 20m$

So, the area of 4 triangles is:

$Area = 4 * 0.5 * Base * Height$

$A_2 = 4 * 0.5 * 20m * 16.4m$

$A_2 = 656m^2$

So, the surface area is:

$Area = A_1 + A_2$

$Area = 400m^2 + 656m^2$

$Area = 1056m^2$