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okay this problem asks us to find lateral surface area and total surface area
amended the lateral surface area in this video and then i'll give a total surface area in
part to that's okay
manner at the steps up to the side to see you can follow along and see where a m
and the first step would be to write the final so lateral surface area
is one-half ki
and the key is perimeter
of the base
and the allies called slant height
equal not my pen is having issues
okay sir
and sorry for keeping keep interrupting but my pen isn't working right but this not hide
it spell and so it's a top furman about what's planned height
actually means
and i have a picture here
of a pyramid
and so they still heights on a pyramid
this one right here if you can see that
that's
is the flat height on the outside works
and that's when the inside
the regular height
so this late-night is like if you're gonna walk up along the outside of the pyramid lake
here the priest about to be some ritual
and they regular high at the inside one is like if you're the pharaoh and you were buried
that's where you would be going up a down side of the pyramid
so if you can see in our example
they give us the regular high on the inside so this is where the pharaoh who is going
up and down cursing the pyramid
we need to figure out what the slant height s
they don't give that to a seminar at that on our list of things to do figure out the
slack right
so to figure out the slam them and show you another picture
and
straight
year
i didn't mean for that to appear there
okay so here's my picture and it's just to show you but as you can see
we've got the right strangle
and member this manhattan there is where the fairly flocking at the side of the pyramid
antenna priest and then this inside height is where the fareless going up and down
so we're going to use in order to sell for this my hair we need your favorite which is
integrin dam
so i'm actually ok fifteen is our
hi-eight and sixteen
all the way across so that means that half way across would be
they and that's and that's where lives here
use if agar impaired
okay sees fit bagger in
near king so
minute go back down here tonight other picture
said this here is eight because the whole day since the sixteenth
and this one here is fifteen
so we have fifteen squared plus eight squared
equals something squared and then kharghar converted to twenty five
the sixty
boyer and if we add those who get nine eight
and member your last part of the agony dam is always to take the square root
to the square root of two eighty nine ext seventeen
so that means that our priests would have to uk seventeen feet along the outside of
the pyramid
so we go back up and put that number in here
bats seventeen
either side
paper so now we just plug everything into our formula right appearing in the next legally
down here
one-half
the perimeter is bed guards walking around the outside apart pyramid six sixteen point
sixteen point sixteen point sixteen
which is sixty four
and thus flathead weary figured out is seventeen
sewing up about eleven a calculator
and you get five hundred and forty-four
which is
the answer