Question

Paisley is decorating the outside of a box in the shape of a square pyramid.The figure below shows a net for the box.What is the surface area of the box, in square centimeters, that Paisley decorates?

Answer 1

we calculate the area of each figure and add to the end

Triangles

the area of a triangle is

$A=\frac{b\times h}{2}$

replacing

$\begin{gathered} A=\frac{6.8\times6.4}{2} \\ \\ A=21.76 \end{gathered}$

the area of alla triangles is 21.76 square centimeter

Square

the area of the square is

$\begin{gathered} A=l\times l \\ A=6.8\times6.8 \\ A=46.24 \end{gathered}$

the ara of the square is 46.24 square centimeter

Total area

we add the area of ​​each figure that makes up the pyramid(4 triagles and 1 square)

$\begin{gathered} A=21.76+21.76+21.76+21.76+46.24 \\ A=133.28 \end{gathered}$

Total area is 133.28 square centimeters