An inverted regular square pyramid has an altitude of 12m and with top
edge of 3m is fully–filled with water.
4. What is the volume of the water in m3?
A portion of water is to be removed so that water will be 7m deep.
5. What is the area at the surface of the water when it is 7m deep?
A pyramid of height 15 ft is to be divided into three solids by passing
planes parallel to the base. Find the height of each solid if their volumes
are equal.
A cylindrical container of height equal to twice the diameter of its base can
hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with
the same capacity has its height equal to three times the diameter of its
base.
You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of x. Derive an expression for the enclosed area A(x) with respect to the angle