What is the volume of a pyramid that has one side of 11.18 one side of 10 one side of 4 and one side of 10
To find the volume of a pyramid, we use the formula:
Volume = (1/3) * base area * height
The base of the pyramid is a trapezoid with lengths 11.18 and 10, and height 4. The formula for the area of a trapezoid is:
Area = (1/2) * (a + b) * h,
where a and b are the lengths of the parallel sides, and h is the height.
So, the area of the base of the pyramid is:
Area = (1/2) * (11.18 + 10) * 4
Area = (1/2) * 21.18 * 4
Area = 42.36
Now, we can find the volume of the pyramid:
Volume = (1/3) * 42.36 * 10
Volume = 14.12 * 10
Volume = 141.2
Therefore, the volume of the pyramid is 141.2 cubic units.