Question

find the surface area of a pyramid.

Answer 1

Finding the surface area is simply trying to find the individual areas of the faces of the shapes within the figure. In the pyramid we see that there are four triangles and one square.

First, let's find the area of the triangle. Then using that area, we can multiply it by the number of triangles there are in the figure. To find the area of the triangle, we do 1/2(b*h). Our base was 22 and our height was 11. 22*11=242. Half of 242 is 121. The area of the triangle is 121.

Now let's find the area of the square. Since a square has all equal sides, we do 22*22=484.

Solve for the equations now.
4(121)=484
484+484(area of the square)=968

Answer 2

@highschoolmom2010

Answer 3

ok im lost

Answer 4

wait ok I see now

Answer 5

thanks @calculusxy

Answer 6

my teacher said that 968 is wrong......

Answer 7

The Surface Area of a Pyramid

When all side faces are the same:

[Base Area] + 1/2 × Perimeter × [Slant Length]
When side faces are different:

[Base Area] + [Lateral Area]


Notes On Surface Area

The Surface Area has two parts: the area of the base (the Base Area), and the area of the side faces (the Lateral Area).

For Base Area :

It depends on the shape, there are different formulas for triangle, square, etc. See Area for formulas, or our Area Calculation Tool

For Lateral Area :

When all the side faces are the same:

Just multiply the perimeter by the "slant length" and divide by 2. This is because the side faces are always triangles and the triangle formula is "base times height divided by 2"
But if the side faces are different (such as an "irregular" pyramid) then add up the area of each triangular shape to find the total lateral area.

Answer 8

I'm pretty sure it's right...

Answer 9

Woah there, that's a lot of information. lol

Answer 10

thats right lol

Answer 11

I did all that but http://www.coursesmart.com/SR/5548832/9781256493303/1012?__hdv=6.8 that is what my book say the answer is and I don't understand how

Answer 12

@ganeshie8 can you look at this for me

Answer 13

hey still stuck on this one ?

Answer 14

yep