Question

Find total area for the regular pyramid.

T. A. =


i will draw the picture

Answer 1

http://media01.switchedononline.com/a_matgeo_2010/7/groupi75.gif

Answer 2

Thats the picture

Answer 3

64 plus 3(64)6 is that correct

Answer 4

No. Hold on.

Answer 5

ok

Answer 6

First, find the area of the base. A hexagon forma a 30-60-90 triangle.
x = 2 then x√3 = 2√3
The area of a hexagon is found using 1/2aP
A = 1/2aP
A = 24√3
Therefore, B = 24√3
So,
SA = B + 3bl
SA = 24√3 + 3(4)(6)
SA = 24√3 + 72

Answer 7

If you don't follow, tell me where.

Answer 8

please explain I am homeschooled and I dont understand neither does my mom. I would really appreciate it if you could explain it to me.

Answer 9

Alright. Do you understand how to find the area of a regular hexagon?

Answer 10

not sure

Answer 11

THat formula is A = 1/2(a)(P)

Answer 12

WHere a = apothem and P = perimeter.

Answer 13

okay the perimeter is adding all the sides correct

Answer 14

Yes. THe perimeter of the BASE. Not the entirs pyramid ok?

Answer 15

okay so that would be 60

Answer 16

no wait 4x4x4 = 64

Answer 17

? The perimeter of the hexagon is 24 since there are six sides and they are each 4 cm?

Answer 18

ok so i need to add it okay. I got that now, how do you find the apothem

Answer 19

Ok. Do you know what the apothem is?

Answer 20

not sure also, sorry

Answer 21

I'll draw a pic.

Answer 22

okay

Answer 23

Where the a is the apothem.

Answer 24

That line in the middle of the triangle.

Answer 25

Look familiar?

Answer 26

that would be 4

Answer 27

no 6 sorry

Answer 28

Umm... no?

Answer 29

To get that, first divide 360 by the number of sides. That gives you the measure of the angle of the top of the triangle.

Answer 30

that would be 6 divided by 360 = 60

Answer 31

Alright. The apothem bisects that angle and splits it into two right triangles. Therefore, divide that 60 by 2 to get 30. 30 is the measure of that top angle in both of the right triangles.

Answer 32

By the triangle sum theorem, all angles in a triangle add up to 180. THerefore, subtract the other angles from 180 to get that other angle.

Answer 33

With me so far?

Answer 34

so it would be 180 - 30 = 150

Answer 35

Remember that the right angle is also there.

Answer 36

so it would be 180-30-90 = 60