Question

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

Answer 1

It is 240

Explanation:

It is 240 because I took the quiz

Answer 2

`336 m^2`

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:

`A=A_b + 4A_t`

where:

`A_b=L^2` is the area of the base, where

L is the length of the base

`A_t=(1)/(2)Lh` is the area of each triangular face, where

h is the height of the face

Substituting,

`A=L^2+2Lh`

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

`A=12^2 +2(12)(8)=336`