Question

The monument is made in the form of a right pyramid with a regular hexagon as a base. Each base side is 5 m and the slant height is 30m. If the monument is to be covered by metal, how many square meters of metal are needed to cover the sides of the pyramid?

Answer 1

Let's begin by listing out the information given to us:

The figure is a right pyramid with a regular hexagon base

Side = 5 m

Slant height = 30 m

Number of sides of hexagon = 6

We will calculate the surface area of the figure. This is shown below:

`\begin{gathered} A(right.triangles)=(1)/(2)bh=(1)/(2)(5\cdot30) \\ A(right.triangles)=75m^2 \\ \text{For 6 sides, we have:} \\ A=6\cdot75=450m \\ A=450m^2 \end{gathered}`

Note that only the sides of the pyramid are to be covered, it does not include the base

Hence, 450 square meters of metals is needed to cover the sides of the pyramid