91Ó°ÊÓ

A \(20 \times 40\) -ft. swimming pool is \(4 \mathrm{ft}\). deep and is filled to the brim, a) How many cubic feet of water are in the pool? b) If one gallon is \(0.13\) cubic feet, how many gallons of water are in the pool? c) If water weighs approximately \(62.4 \mathrm{lb} / \mathrm{cu}\). ft., what is the approximate weight of water in the pool?

Show that two prisms have equal volumes if their bases have equal areas and their altitudes are equal.

A pyramid has a square base measuring 5 in. on each side and a height of 10 in. What is its volume?

Find the volume of a pyramid whose base is an equilateral triangle with side 10 and whose altitude is 20 .

Derive a formula for the volume of a regular octahedron in terms of the edge e.