the base of an empty rectangle tank measures 60cm by 50cm a stone volume 2000cm3 is placed in the tank when 55 liters of water are poured into the tank the tank is 1/3 full find the height of the tank
First, we need to convert 55 liters to cubic centimeters since the volume of the stone is given in cubic centimeters.
1 liter = 1000 cubic centimeters
Therefore, 55 liters = 55 x 1000 = 55,000 cubic centimeters
Since the tank is 1/3 full after adding the water, the total volume of the tank is 3 times the volume of the water:
3 x 55,000 = 165,000 cubic centimeters
We can find the height of the tank by dividing the total volume by the base area:
height = total volume / base area
base area = 60 x 50 = 3000 square centimeters
height = 165,000 / 3000 = 55 centimeters
Therefore, the height of the tank is 55 centimeters.