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 solve this problem, we need to use the formula for the volume of a rectangular container:
Volume = Length x Breadth x Height
We are given the length and breadth of the container, as well as the volume of the oil. We need to find the height of the oil.
First, we need to convert the volume of the oil from litres to cubic centimeters, since the dimensions of the container are given in centimeters.
1 litre = 1000 cubic centimeters
Therefore, 96 litres = 96 x 1000 = 96,000 cubic centimeters
Now, we can plug in the values we have into the formula for the volume of the container:
Volume = Length x Breadth x Height
96,000 = 220 x 40 x Height
Simplifying, we get:
Height = 96,000 / (220 x 40)
Height = 2.18
To round off to the nearest centimeter, we need to look at the first decimal place. If the value in the first decimal place is 5 or more, we round up. If it is less than 5, we round down. In this case, the value in the first decimal place is 1, which is less than 5. Therefore, we round down to 2.
So, the height of the oil in the container is approximately 2cm.
Therefore, the correct answer is (a) 11cm.