Question

The net of a square pyramid and its dimensions are shown in the diagram. 10 ft. What is the total surface area of the pyramid in square feet?

Answer 1

1) LEt's calculate the total surface by calculating the area of the base:

• A square: A =s² A = 12² A=144 ft²

,

• 4 triangles whose altitude is 8 and their legs are 10, and 12

$\begin{gathered} S=\frac{bh}{2}\Rightarrow\text{ S=}\frac{12\cdot8}{2} \\ S=48 \\ 48\text{ }\times4\text{ = 192 ft²} \end{gathered}$

2) Now we can add them all up:

$\text{Total Surface Area: 144+192 =336 ft²}$

3) Hence, the total surface area of that Pyramid is 336 ft²