Ben made a model (shown below) of the square pyramid he plans to build when he grows up.
Find the surface area of the model.
\text{ m}^2 m
2
start text, space, m, end text, squared

Step-by-step explanation:

The surface area of a square pyramid is the sum of the area of the squared base + 4 times the area of each triangular face, therefore:

where:

is the area of the base, where

L is the length of the base

is the area of each triangular face, where

h is the height of the face

Substituting,

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is: