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=(b* h)/(2)`

replacing

`\begin{gathered} A=(6.8*6.4)/(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* l \\ A=6.8*6.8 \\ 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