John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil...
John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in the container
Answer Details
To calculate the height of the oil in the container, we need to use the formula for the volume of a rectangular prism:
Volume = length x breadth x height
First, we need to convert the given volume from liters to cubic centimeters, since the dimensions of the container are in centimeters.
96 liters = 96,000 cubic centimeters
Next, we can plug in the given values into the formula:
96,000 = 220 x 40 x height
Solving for height, we get:
height = 96,000 / (220 x 40)
height ≈ 11.0 cm (rounded to the nearest cm)
Therefore, the height of the oil in the container is approximately 11 cm.
Note: When working with volume, it's important to make sure the units are consistent throughout the problem. In this case, we converted liters to cubic centimeters to match the dimensions of the container.