Question

The thickness of 54 sheets of paper is 15.12 mm. What is the thickness of each sheet in cm?

Answer 1

Hint: In order to solve this question, we should know the concept of unitary method, that is, we will find the thickness of 1 sheet by dividing the total thickness of n sheets by n. And then we should also remember that 1 cm = 10 mm. By using these concepts we will solve this question.

Complete step-by-step answer:
In this question, we have been asked to find the thickness of 1 sheet with the given condition that the thickness of 54 sheets is 15.12 mm. To solve this question, we should know the concept of unitary method, that is, we will find the thickness of 1 sheet by dividing the total thickness of n sheets by n. So, we can say that the thickness of 1 sheet can be given by, $\dfrac{\text{thickness of 54 sheets}}{\text{54}}$. Now, we have been given the thickness of 1 sheet as, $\dfrac{15.12}{54}mm=0.28mm$. Now, we have been asked to find out the thickness of 1 sheet in cm. And we know that, 1 cm = 10 mm. So, we can write, $1mm=\dfrac{1}{10}cm$ as we have to convert mm to cm. So, we can write the thickness of 1 sheet as,
$\dfrac{0.28}{10}cm=0.028cm$
Hence, we can say that the thickness of 1 sheet is 0.028 cm.

Note: While solving this question, the possible mistake we can make is by not converting the thickness of 1 sheet from mm to cm which will result in the wrong answer and we will lose marks. Also, we need to remember that the thickness of 1 sheet can be calculated by finding, $\dfrac{\text{thickness of 54 sheets}}{\text{54}}$ and then we will get our answer.