Hi guys, in this particular example we are going to be playing with pyramids, specifically
we are looking for the volume of pyramid.
Now remember the definition for volume, volume is the amount space occupied within the solid,
as I said earlier this solid is a pyramid.
Now let us take a closer look at this pyramid specifically we have unit in meter as you
can see so all unit meters obvuse the final answer for volume in meter cube.
Now we have a few length, and breths we have a height here it must be perpendicular from
the center of the rectangle which is the base right down here vertically straight up another
degrees is a height of 26 m then we have a length across here which is the base which
is 21m and a depth across there of 8m, so we are going to take in three steps 1- write
up the formula, step 2- is workout the area of this base because that is what we need
put on the formula and the final step is to plank in the height into that formula to come
up with a grand total volume for this vivid orange pyramid, so let us get started by writing
up the formula for volumes.
So volume of a pyramid is a 1/3 x the area of
the base x the perpendicular or the vertical height which is 90 degrees down here.
Ok that is our formula, now we are going to step no.
2 which is to work out the area of this base.
Now this is rectangular base because can see that the base is 21m the depth is 8 meters
so let me just write down here, so it is length x breth which is 21 x 8, so we can go 21 x
8 and it is going to give us a grand total of 168m squared, that dark area down here
that is the base right there, so that is what we need to put in there.
So let me just mark that out to we can take this space and put in right in that part there
of the formula.
Ok now we just plank in the 26m goes into there and we can come up with the total grand
skull of this volume for this pyramid.
So let us do that, put on 168 and we have a height of 26m, ok, there are all our values
1/3, 168 area of the base, 26 that is the vertical perpendicular height.
Let us flank that all into the formula, into the calculator, 1/3 x 168 x 26 grand totals
is 1456 m cube.
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