The Louvre Pyramid in Paris has a
square base whose sides are 112 feet long. Given its volume is 296875 cubic
feet, find the height of the pyramid to the nearest foot.
In this question, we’re given that
there is a pyramid which has a square base, and these lengths of the square are 112
feet. We’re given the volume, but we need
to calculate the height of this pyramid. We can remember that to find the
volume of a pyramid, we calculate one-third times the area of the base times the
perpendicular height. Here, we have got the volume of the
pyramid. We need to calculate the
perpendicular height. We don’t know the area of the base,
but we can calculate this.
The area of a square is the length
squared. So, in this case, we need to
calculate 112 squared. This gives us 12544, and the units
will be square feet. Now, we can apply the volume
formula, filling in the given value 296875 as the volume and the area of the base
that we’ve just calculated as 12544. Because we wish to find the value
of ℎ, when we rearrange this, we can begin by multiplying both sides by three. Next, we can divide both sides by
12544. This gives 71.00 and so on is equal
to ℎ. As we’re asked to give the value to
the nearest foot, we can write the answer so that we find the height of the Louvre
Pyramid as 71 feet.