The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
What is the area?
The area of a figure is the two-dimensional space enclosed within the boundary of that figure.
How to solve the question?
In the question, we are asked to find the lateral area of the regular pyramid shown.
A regular pyramid is one with all lateral faces the same.
In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.
Each lateral face is a triangle, with the base as 12 units and height as 15 units.
Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².
Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².
Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
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