Cubic meters per minute to Cubic yards per hour conversion

How to convert cubic meters per minute to cubic yards per hour?

To convert cubic meters per minute (m³/min) to cubic yards per hour (yd³/hr), you need to use the following conversion factors:

1. There are 60 minutes in an hour.
2. One cubic meter (m³) equals approximately 1.30795 cubic yards (yd³).

Let's break down the conversion step-by-step:

Calculation Steps

1. Convert cubic meters per minute to cubic meters per hour: Since there are 60 minutes in an hour: $\text{cubic meters per hour} = \text{cubic meters per minute} \times 60$ For 1 m³/min: $1 \text{ m³/min} \times 60 = 60 \text{ m³/hr}$

2. Convert cubic meters per hour to cubic yards per hour: Since 1 cubic meter equals 1.30795 cubic yards: $\text{cubic yards per hour} = \text{cubic meters per hour} \times 1.30795$ For 60 m³/hr: $60 \text{ m³/hr} \times 1.30795 = 78.477 \text{ yd³/hr}$

So, 1 cubic meter per minute is equivalent to approximately 78.477 cubic yards per hour.

Real-World Examples for Other Quantities

1. 5 Cubic meters per minute:

   • First, convert 5 m³/min to cubic meters per hour: $5 \text{ m³/min} \times 60 = 300 \text{ m³/hr}$
   • Then, convert cubic meters per hour to cubic yards per hour: $300 \text{ m³/hr} \times 1.30795 = 392.385 \text{ yd³/hr}$

2. 10 Cubic meters per minute:

   • First, convert 10 m³/min to cubic meters per hour: $10 \text{ m³/min} \times 60 = 600 \text{ m³/hr}$
   • Then, convert cubic meters per hour to cubic yards per hour: $600 \text{ m³/hr} \times 1.30795 = 784.77 \text{ yd³/hr}$

3. 20 Cubic meters per minute:

   • First, convert 20 m³/min to cubic meters per hour: $20 \text{ m³/min} \times 60 = 1200 \text{ m³/hr}$
   • Then, convert cubic meters per hour to cubic yards per hour: $1200 \text{ m³/hr} \times 1.30795 = 1569.54 \text{ yd³/hr}$

These are the steps and examples that illustrate how to convert cubic meters per minute to cubic yards per hour for various flow rates.