a rectangular tank,50cm long and 30cm wide,contains water upto a height of 9 cm.a box of dimensions 25cm,25cm,20cm is not placed in the tank so that its square faces rest on the bottom of the tank. the quantity of the water that must be poured into the tank in order to just cover the box is .....with detailed solution
since the water is already 9 cm deep, another 11 cm must be added. So, the water added is
50*30*11 - 25*25*11
To solve this problem, we need to calculate the volume of both the rectangular tank and the box, and then find the difference between the two volumes to determine the quantity of water needed to cover the box.
1. Calculate the volume of the rectangular tank:
Volume = length x width x height
Volume = 50 cm x 30 cm x 9 cm
Volume = 13,500 cm³
2. Calculate the volume of the box:
Volume = length x width x height
Volume = 25 cm x 25 cm x 20 cm
Volume = 12,500 cm³
3. Find the difference between the volume of the tank and the volume of the box to determine the quantity of water needed to cover the box:
Quantity of water = Volume of tank - Volume of box
Quantity of water = 13,500 cm³ - 12,500 cm³
Quantity of water = 1,000 cm³
Therefore, 1,000 cm³ of water must be poured into the tank in order to just cover the box.