Question

How many meters are in a yard?

Answer 1

Hint: Given a measurement in yards. We have to write the equivalent measurement in meters. First, convert the value into the foot. Then, convert it into inches. Then, convert the resultant value into cm and then convert it into meters.

Complete step by step solution:
We have to find the units of meters equivalent to 1 yard.

First, we will convert 1 yard into equivalent feet by multiplying the value of yards by 3.

$\Rightarrow 1\text{ yard}\times \text{3}=3\text{ ft}$

Now, we will convert the foot into inches by multiplying the value in foot by 12.

$\Rightarrow 3\text{ ft}\times \text{12}=36\text{ inches}$

Now, we will convert the inches into cm using the relation $1\text{ inch}=2.54\text{ cm}$. Multiply the value in inches by $\text{2}\text{.54}$.

$\Rightarrow 36\text{ in}\times \text{2}\text{.54}=91.44\text{ cm}$

Now, we will convert the cm into meters by dividing the value in cm by 100.

$\Rightarrow {\displaystyle \frac{91.44\text{ cm}}{100}}=0.9144\text{ m}$

Hence there $0.9144$ meters in a yard.

Note: The students must remember that a meter is a base unit of length in the international system of units. Please note that in such types of questions, we need to remember the international unit conversions which are given as:
 $\Rightarrow \text{100}$cm in 1 meter
$\Rightarrow \text{2}\text{.54}$ cm in 1 inch
$\Rightarrow \text{12}$ inches in 1 foot
$\Rightarrow \text{3}$ feet in 1 yard