4. Find the volume of a pyramid of height 160 feet that has a square base of side 300 feet
Volume of pyramid
=area of base * height /3
For a square base of side s,
Volume
=(s²h)/3
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, we have a pyramid with a square base of side 300 feet and a height of 160 feet.
First, we need to find the base area of the pyramid. The base area of a square is calculated by multiplying the length of one side by itself, so in this case, the base area is:
Base area = 300 feet * 300 feet
Next, we can substitute the values we have into the volume formula:
Volume = (1/3) * (300 feet * 300 feet) * 160 feet
Now, we can simplify this equation to find the volume:
Volume = (1/3) * (90000 square feet) * 160 feet
Multiplying the values:
Volume = (1/3) * 14400000 cubic feet
Finally, calculating the volume:
Volume = 4800000 cubic feet
Therefore, the volume of the pyramid is 4,800,000 cubic feet.