How many inches are in 50 yards? Conversion factors: 12 inches = 1 foot, and 3 feet = 1 yard. Show all work using dimensional analysis
To solve this using dimensional analysis, we will set up a series of conversion factors to convert yards to inches.
Given: 50 yards
Conversion factors:
1 yard = 3 feet
1 foot = 12 inches
We can set up the following conversion factors to convert 50 yards to inches:
50 yards * (3 feet / 1 yard) * (12 inches / 1 foot)
First, we convert yards to feet using the conversion factor of 3 feet per yard.
50 yards * (3 feet / 1 yard) = 150 feet
Next, we convert feet to inches using the conversion factor of 12 inches per foot.
150 feet * (12 inches / 1 foot) = 1800 inches
Therefore, there are 1800 inches in 50 yards.
To convert 50 yards to inches using dimensional analysis, we can set up the conversion factor as follows:
50 yards × (3 feet/1 yard) × (12 inches/1 foot)
Let's simplify each step:
50 yards × 3 feet = 150 feet
150 feet × 12 inches = 1800 inches
Therefore, there are 1800 inches in 50 yards using the given conversion factors.