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

Respuesta :

Answer:

[tex]336 m^2[/tex]

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:

[tex]A=A_b + 4A_t[/tex]

where:

[tex]A_b=L^2[/tex] is the area of the base, where

L is the length of the base

[tex]A_t=\frac{1}{2}Lh[/tex] is the area of each triangular face, where

h is the height of the face

Substituting,

[tex]A=L^2+2Lh[/tex]

For the model in this problem,

L = 12

h = 8

Therefore, the surface area here is:

[tex]A=12^2 +2(12)(8)=336[/tex]

Answer:

It is 240

Step-by-step explanation:

It is 240 because I took the quiz