Secondary III • 3mo.
Is this correct? I don't know how to do it.
Is this correct? I don't know how to do it.
Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hello NaiveGiganotosaurus556,
Please come back with more details of the problem or a better drawing, because it is unclear. From the looks of it, you have a hexagonal pyramid attached to a prism that is sitting on a circle. Shouldn't it be a hexagon?
The lateral area of a pyramid is given by
$$A_L = \dfrac{P_b \times a}{2} $$
where
$$\begin{align}A_L&=\text{Lateral area}\\P_b&=\text{Base perimeter}\\a &= \text{Pyramid apothem}\end{align}$$
The lateral area of a prism is calculated with
$$ A_L = P_b \times h $$
where
$$ \begin{align} A_L&=\text{Lateral area} \\ P_b &= \text{Perimeter of a base}\\ h\ &= \text{Prism height}\end{align} $$
If the base is a hexagon, it is the same as the base of the hexagonal pyramid.
$$ \begin{align} A_b &=A_{\text{regular polygons}}\\&= \dfrac{s \times a\times n}{2}\\ \end{align} $$
If it is a circle, then you are right to use πr², but be careful because there is only one not two.
Do not hesitate if you have more questions!