Question

Find the lateral surface area of a regular hexagonal pyramid whose edge measures 20cm and the radius of a circle inscribed in the base is cm.

Answer 1

@perl last problem :D

Answer 2

*9 sqrt of 3 cm

Answer 3

First of all, what is the Lateral Surface Area? Please tell me that you know it.

Answer 4

The lateral area is the surface area of a 3D figure, but excluding the area of any bases. Lateral Area is often abbreviated L.A. Imagine a soup can. Now cut down the side of the can and roll it flat.

Answer 5

Good.

Just to be clear:

1) 20 cm is the length of one of the lateral edges.
2) \(9\sqrt{3}\) is the Radius of the inscribed circle of the base.

Right?

Answer 6

yup

Answer 7

Okay, let's ponder the base.

Regular Hexagon has what measure for the six interior angles?

Answer 8

there are 60 degrees each interior triangle

Answer 9

@perl

Answer 10

Actually 120º for each interior angle of the hexagon, but when you divide it up into 6 congruent triangles, each one has a pair of 60º base angles. Agreed?

Answer 11

yup

Answer 12

Taking just one Equilateral Triangle, what part shall we label \(9\sqrt{3}\)?

Answer 13

Read the problem statement again. Is this an inscribed circle or circumscribed circle?