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Math problem...?
Consider a rectangular swimming pool 30 feet long and 20 feet wide. The shallow end is 3.5 feet deep and extends for 5 feet. Then for 15 feet (horizontally) there is a consistent slope downwards to the 10 foot deep end.
1. How much water is needed to fill the pool to the top? To a level 6 inches below the top?
2. One gallon of pool paint covers approximately 75 sq feet of surface. How many gallons of paint are needed to paint the inside of the pool? If the pool paint comes in 5-gallon cans, how many cans are needed?
3. How much material is needed to make a rectangular pool cover that extends 2 feet beyond the pool on all sides?
4. How many 6-inch square ceramic tiles are needed to tile the top pf the inside faces of the pool? If the lowest lone of tiles is to be in a contrasting color, how many of each tile are needed?
1 Answer
- playinmybluesLv 66 years ago
Begin to solve this problem by sketching a diagram. You will likely need a view from the side of the pool, as if the whole pool were above ground. If necessary, draw the pool from the side and also from one or both ends. You will also need a diagram of the pool from the top. Do not forget to add lines where the pool floor changes angles. This question is solved mainly by using geometry and equations for area and volume.
