A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?
60cm * 50cm * 40cm = ? cm^3
a liter is 1000 cm^3
divide the tank volume by the fill rate
To determine how long it will take to fill the tank, we need to calculate the volume of the tank and then divide it by the flow rate.
Step 1: Calculate the volume of the tank.
Volume = Length x Width x Height
Volume = 60 cm x 50 cm x 40 cm
Volume = 120,000 cm³
Step 2: Convert the volume from cm³ to liters.
1 liter = 1000 cm³
Volume = 120,000 cm³ ÷ 1000
Volume = 120 liters
Step 3: Divide the volume by the flow rate.
Time = Volume ÷ Flow rate
Time = 120 liters ÷ 8 liters/minute
Time = 15 minutes
Therefore, it will take 15 minutes to fill the tank at a rate of 8 liters per minute.
To calculate the time it takes to fill the tank, we need to determine the volume of the tank and then divide it by the rate at which the water flows into the tank.
First, we need to find the volume of the tank using the formula:
Volume = Length × Width × Height
Given:
Length = 60 cm
Width = 50 cm
Height = 40 cm
Volume = 60 cm × 50 cm × 40 cm
We can calculate it as follows:
Volume = 120,000 cm³
Since 1 liter is equal to 1000 cm³, the volume of the tank can also be expressed as:
Volume = 120,000 cm³ ÷ (1000 cm³/L) = 120 L
Now, we can determine the time it takes to fill the tank at a rate of 8 liters per minute:
Time = Volume ÷ Flow rate
Time = 120 L ÷ 8 L/min
We can calculate it as follows:
Time = 15 minutes
Therefore, it will take 15 minutes to fill the tank at a rate of 8 liters per minute.