Question

Find the lateral area for the regular pyramid.

Answer 1

ill post the picture hold up

Answer 2

Okay so, lateral area of a regular pyramid is:

LA = 1/2(P)(l)

Where the P is perimeter of base and l is that height

Answer 3

got it!

Answer 4

So in this picture, the base is a square with each side of 2. So what would the perimeter be of the base?

Answer 5

8?

Answer 6

Good.

Also I meant the L stands for slant height, not the actual height.

So so far we have:

LA = 1/2(8)(L)

What's the slant height in this picture?

Answer 7

o its ok! umm 3?

Answer 8

o umm 2?

Answer 9

We have to find the slant height here actually

Answer 10

Notice how there is a triangle in there? Are real height is 3 and the base of that triangle would be 1 because it goes to the middle of a square where each side is 2? It's a right triangle so we'd to Pythagorean to find the hypotenuse (AKA slant height)

Answer 11

oooo i get it ok! wats the formula to find the hypotenuse?

Answer 12

a^2+b^2=c^2 where a and b are the other sides and c is the hypotenuse

Answer 13

ok so lets both do it an see wat we get

Answer 14

Okay I have the answer in my mind

Answer 15

10?

Answer 16

Almost, 10=c^2 so c=sqrt(10)

Answer 17

so my answer would be 2 square root 10?

Answer 18

So the hypotenuse is the sqrt(10) which is about 3.16

So now we have:

LA = 1/2(8)(3.16)

Answer 19

Or

LA = 1/2(8)(sqrt(10))

Answer 20

o ok got it so my answer would be 4square root 10?

Answer 21

Yes or it could be 12.65 depending on how they want it

Answer 22

they want it in sqaure root omg i owe u! ur such a help! now it wants the total are of the same pyramid

Answer 23

It wants the total Surface Area of the same figure?

Answer 24

ya well it just says T.A.=

Answer 25

TA = LA + B

Where B is the area of the base

Answer 26

so 4 square root 10 + 4?

Answer 27

Yup! Which is 8 sqrt(10)

Answer 28

omg thank u!! ok imma post another question!

Answer 29

Alrighty!