Answer:
28 liters of water to fill the tank
Explanation:
To find the volume of water needed to fill the tank, we need to calculate the volume of the empty space in the tank. The empty space is the total volume of the tank minus the volume already filled.
The volume of the tank is given by:
Volume = length × width × height
Given:
Length = 50 cm
Width = 20 cm
Height = 40 cm
Volume of the tank = 50 cm × 20 cm × 40 cm = 40,000 cm³
Since 12 cm depth of the tank is already filled, we need to find the volume of the empty space:
Empty space volume = Total volume - Filled volume
Filled volume = length × width × filled depth
Given:
Filled depth = 12 cm
Filled volume = 50 cm × 20 cm × 12 cm = 12,000 cm³
Empty space volume = 40,000 cm³ - 12,000 cm³ = 28,000 cm³
To convert the volume to liters, we divide by 1000:
Empty space volume in liters = 28,000 cm³ ÷ 1000 = 28 liters
Therefore, you would need 28 liters of water to fill the tank.