Question

If the thickness of a pile of 12 cardboards is 35mm, then find the thickness of a pile of 294 cardboards.

Answer 1

Hint: Here we are given the thickness of a pile of 12 cardboards and asked to find that of 284 such cardboards. If we use a unitary method then we can find the thickness of one such cardboard. Then we will multiply it with 294 to get our answer.

Complete step-by-step answer:
Given that,
Thickness of the pile of 12 cardboards is 35mm.
Then calculate the thickness of 1 cardboard.
The thickness of 1 cardboard= \[\dfrac{{35}}{{12}}\]mm
Thus thickness of such pile of 294 cardboards will be,
 Thickness of pile of 294 cardboards =
 \[
  \dfrac{{35}}{{12}} \times 294 \\
   \Rightarrow \dfrac{{49}}{2} \times 35 \\
   \Rightarrow 24.5 \times 35 \\
   \Rightarrow 857.5 \\
\]
Thus, the thickness of pile of 294 cardboards is 857.5mm
Additional information:
Unitary method is used to find the answer if we need the value of one such object when the value of the number of objects is given.
We also can use this method to find the value of a number of objects if we are given a value of one.
After finding the value of one object then you can use it to find the number of such objects.

Note: Using unitary method students can easily reach the answer in simple steps.
If asked the thickness in cm you just divide the answer by 100.