Cubic inches to Gigalitres conversion

How to convert cubic inches to gigalitres?

Sure! Let's go through the conversion process step by step and then discuss some real-world examples.

Conversion from Cubic Inches to Gigalitres

Step 1: Understand the basic units.

1 cubic inch (in³) is a volume measurement in the imperial system. 1 gigalitre (GL) is a volume measurement in the metric system, where:

• 1 gigalitre = 1,000,000,000 litres.

Step 2: Convert cubic inches to cubic centimetres.

Since 1 inch = 2.54 centimetres, we can cube this conversion factor to convert between cubic inches and cubic centimetres. $1 \text{ cubic inch} = (2.54 \text{ cm})^3 = 16.387064 \text{ cubic centimetres (cm³)}$

Step 3: Convert cubic centimetres to litres.

Since 1 litre = 1,000 cubic centimetres: $1 \text{ cubic centimetre} = 0.001 \text{ litres}$ $16.387064 \text{ cm³} = 16.387064 \times 0.001 \text{ litres} = 0.016387064 \text{ litres}$

Step 4: Convert litres to gigalitres.

Since 1 gigalitre = 1,000,000,000 litres: $1 \text{ litre} = 1 \times 10^{-9} \text{ gigalitres (GL)}$ $0.016387064 \text{ litres} = 0.016387064 \times 10^{-9} \text{ GL}$ $0.016387064 \text{ litres} = 1.6387064 \times 10^{-11} \text{ GL}$

So, $1$ cubic inch $\approx 1.6387064 \times 10^{-11}$ gigalitres (GL).

Real-World Examples of Volume in Cubic Inches

1. Engine Displacement:

   • Car engines are often measured in cubic inches. For instance, an engine could be 350 cubic inches (in³), which is approximately $5.74$ litres. $350 \text{ in³} \times 0.0163871 = 5.735535 \text{ litres}$

2. Household Items:

   • A standard large soda bottle might contain 67.62 cubic inches of liquid (approximately 1.125 litres). $67.62 \text{ in³} \times 0.0163871 = 1.10708 \text{ litres}$

3. Shipping Containers:

   • A shipping box might have a volume of 1,728 cubic inches (1 cubic foot), which is about $28.32$ litres. $1,728 \text{ in³} \times 0.0163871 = 28.3168 \text{ litres}$

4. Water Reservoirs:

   • Smaller water tanks in homes might have a capacity measured in cubic inches. For example, a 5,184 cubic inch tank (around 85 litres). $5,184 \text{ in³} \times 0.0163871 = 84.95172 \text{ litres}$

These conversions and examples help to contextualize how volumes can be significant in both small scales, such as engine sizes and household items, and large scales like in storage and reservoirs.