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Mathematics 17 Online
OpenStudy (yourboydusty):

What is the surface area of the regular pyramid pictured below?

OpenStudy (yourboydusty):

thank u for helping me 3mar

OpenStudy (3mar):

You are welcome, brother!

OpenStudy (3mar):

With my pleasure!

OpenStudy (yourboydusty):

ok so i dont really know the answer to this one lol :P

OpenStudy (3mar):

The surface area of the regular pyramid simply means the sum of the areas of all its faces.

OpenStudy (yourboydusty):

so 48?

OpenStudy (yourboydusty):

or wait... no

OpenStudy (3mar):

The surface area of any volume simply means the sum of the areas of all its faces.

OpenStudy (yourboydusty):

um 1 sec brb

OpenStudy (3mar):

Take your time.

OpenStudy (3mar):

where are you?

OpenStudy (yourboydusty):

okay i am back srry had to feed the dogs

OpenStudy (yourboydusty):

i leave for school in another hour an a half so i need to get these problems done fast

OpenStudy (yourboydusty):

so what do i do?

OpenStudy (yourboydusty):

hallo?

OpenStudy (yourboydusty):

is it 48?

OpenStudy (yourboydusty):

???

OpenStudy (phi):

48 is the area of one triangular "face" but if you look at the picture, it has 4 of those triangular faces (all are the same size) plus, the "bottom" is a square, and you need the area of the bottom in other words, the surface area of the figure is the area of 4 triangles plus the bottom square.

OpenStudy (yourboydusty):

but i though 12 was the area of one triangular face?

OpenStudy (phi):

area of a triangle is base * height / 2 in this problem 8 * 12 /2 = 8*6 = 48 that is one of the triangles.

OpenStudy (yourboydusty):

oh okay

OpenStudy (yourboydusty):

so what do i do next?

OpenStudy (phi):

add up the areas of the 4 triangles (or multiply 4*48) then add in the area of the bottom (it is a square with sides = 8)

OpenStudy (yourboydusty):

4*48=192 192+8=200

OpenStudy (phi):

the area of a square is not just 8 it is base*height (but both are the same number, 8 in this case)

OpenStudy (yourboydusty):

8*8=64 192+64=256

OpenStudy (phi):

yes

OpenStudy (yourboydusty):

thats the answer?

OpenStudy (3mar):

Nice performance, YourBoyDusty!

OpenStudy (yourboydusty):

thanks!

OpenStudy (3mar):

Yes, that is the answer!

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