a rectangular swimming pool 20m wide ,60 m long and 4m deep ,contains 800m3 of water.How much more water has to be added so that the water level is 30cm from the top?
Question
a rectangular swimming pool 20m wide ,60 m long and 4m deep ,contains 800m3 of water.How much more water has to be added so that the water level is 30cm from the top?
Solution
First, we need to calculate the total volume of the swimming pool. The volume of a rectangular prism (which is the shape of the pool) is calculated by multiplying the length, width, and height.
The pool is 20m wide, 60m long, and 4m deep. So, the total volume of the pool is 20m * 60m * 4m = 4800m^3.
The pool currently contains 800m^3 of water.
The question asks how much more water is needed to fill the pool until it is 30cm from the top. 30cm is 0.3m. So, the volume of the pool that needs to be filled is the total volume minus the volume of the 30cm space at the top.
The volume of the space at the top is 20m * 60m * 0.3m = 360m^3.
So, the volume of the pool that needs to be filled is 4800m^3 - 360m^3 = 4440m^3.
The pool already contains 800m^3 of water, so the amount of water that needs to be added is 4440m^3 - 800m^3 = 3640m^3.
So, 3640m^3 of water needs to be added to the pool to fill it until it is 30cm from the top.
Similar Questions
Your swimming pool is square and 6.0 m on a side. It is 3.7 m deep in the morning. If the temperature changes by 37°C during the afternoon, how much does the depth of the water increase?
A rectangular tank 15 cm long by 10 cm wide is ⅖ filled with water. The volume of water in the tank is 6 litres. How much more water is needed to fill the tank to the brim?Amount of water needed to fill the tank to the brim: ____ cm³
A watering trough in the shape of a rectangular prism measures 40 cm by 50 cm by 64 cm. How much water will the trough hold? Recall: (1000cm3=1L) Answer to the nearest HUNDREDTH
A swimming pool is 40 feet long, 20 feet wide, and 8 feet deep. What is the correct way to find the volume of the pool?
Suppose that a rectangular pool is 12 meters long, 10 meters wide and has a volume of 300 cubic meters. How deep is the pool in meters?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.