a We will find the volume of the Pyramid of Peace, which is a square pyramid. Its height is approximately 62 meters and one side of its square base is also approximately 62 meters.
To find the volume of the pyramid we will use the following formula.
V=1/3wl h
In the formula w and l are the width and length of the base, and h is the height of the pyramid. Let's substitute w=62, l=62, and h=62 into the formula and compute the volume.
Therefore, to the nearest thousands cubic meters the volume of the pyramid is approximately 79 000 cubic meters.
b In this part we will consider a prism-shaped building with the same square base as the Pyramid of Peace.
We will determine how tall it should be so that it has the same volume as the Pyramid of Peace. Remember that the volume of a prism can be found by the following formula.
V=wl h
From here let's substitute the values from Part A into the formula and solve it for h. Note that we will substitute the exact value of the volume. Otherwise, the height that we find would not be correct.
