Surface Area of a Square Pyramid | Math with Mr. J

Welcome to Surface Area of a Square Pyramid with Mr. J! Need help with finding the surface area of a pyramid? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with how to find the surface area of a square pyramid. Mr. J will go through a surface area of a square pyramid example and explain the steps of how to find the surface area of a pyramid.
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Hopefully this video is what you're looking for when it comes to calculating the surface area of a square pyramid.

[@MathwithMrJ]

✅ Thanks so much for watching! ✌ ✌ ✌
✅ Something to keep in mind... Adding the area of the base and the areas of all the lateral faces will work for any pyramid. The formula (SA = B + 1/2 x p x s) that is mentioned in the video only works for regular pyramids though (regular = all sides of the base are the same). For example, it works for square pyramids because all of the lateral faces are the same. For a counter example, this formula does not work for a rectangular pyramid because all of the lateral faces are not the same.

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quick question , why does most of the numbers picked by you is usually lesser than 20 inches more spefically in the single digits ? is it some sort of reference ?

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[@user-hk8mx2mp7i]

it can be also
L.A
A= 6 in × 5 in
= 30 in² ÷2
= (15 in²) 4 (lateral face)
= 60 in²
BASE
A= 6 in × 6 in
= 36 in²
S.A= 60 in² + 36 in²
= 96 in²

[@dipuhaldar9214]

Sorry MrJ, 5 is the slant height not height of the triangle. by pythagoras theorem, slant height 5 is hypotenuse of triangle with base 6, in this case we'll take it as 3 ,
then height will be h^2=5^2-3^2 =25-9=16,
h =√16=4.
then, area of one triangle will be =1/2×6×4=12.
area of 4 triangle=4×12=48.
now total surface area= 36+48=84 unit^2

[@wajnmountain]

Yeah, but it’s still a surface. It would be useful to find the height if you are trying to do volume, but not necessary for surface area.

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Do you have a video that shows hot to get the smallest surface area of a pyramid?

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how to find the area of a cylinder please tell

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What are you gonna do when the apex is given? I'm a little confused.

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BOTH METHODS VERY HELPFULL THANK YOU MR.JAY as soon as i came across your videos they have been super helpful . on April 21-24 im finna take 7th grade milestones so im studying. i really appreciate these videos and now im actually better at surface area i had previously before your videos struggled with SA but now im better

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[@samuelsierra1004]

The slanted height is not the same as regular height. You need to use Pythagorean theory to actually find the height.

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This was the exact same problem as on my program -- School Yourself...

[@urfavbrunette1011]

Im sorry but how did you get 36? Why did you do 6×6? Please reply my test is tomorrow I beg Mr.J

[@AlanMathew-sw6gw]

That because area is length *height. Here both length and height are 6 so id we multiply it we get 36

[@AlanMathew-sw6gw]

The area of square i mean

[@thatguyinpurple7654]

@@AlanMathew-sw6gwWhy wouldn’t it be 6+6+6+6? If the square has 4 6in sides?

[@user-gs3fu8hn2t]

It's wrong the answer is 213.52in because 68x3.14=213.520but as u said it was slightly different

[@pianocat2.017]

Excuse but where did you get 15 from?

[@RamJacobSlays]

I thought the formula was SA= 4 (1/2 bh) + S exponent 2

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