Volume Converter
Our 🌟 Volume Converter Tool 🌟 is designed for quick and accurate 📏 volume conversions. Effortlessly switch between liters, gallons, cubic meters, and more 🧪. Perfect for science projects, cooking 🥄, and everyday use! 🌐 Accessible anytime, anywhere 🚀. Simplify your calculations with ease😊
Share on Social Media:
How to Calculate Volume? 📏📐
Volume measures how much space an object occupies. To calculate it, the formula depends on the shape of the object. Let's dive into the most common shapes and their formulas! 🌟
Volume Formulas for Common Shapes
Cube 🧊
Formula: V=s3V = s^3V=s3
- sss: Length of the side.
Example: If s=3s = 3s=3, then V=33=27V = 3^3 = 27V=33=27.
Sphere ⚽
Formula: V=43πr3V = \frac{4}{3} \pi r^3V=34πr3
- rrr: Radius of the sphere.
Example: If r=4r = 4r=4, then V=43π(43)=268.08 cm3V = \frac{4}{3} \pi (4^3) = 268.08 \, \text{cm}^3V=34π(43)=268.08cm3.
Cylinder 🥫
Formula: V=πr2hV = \pi r^2 hV=πr2h
- rrr: Radius of the base.
- hhh: Height of the cylinder.
Example: If r=5r = 5r=5 and h=10h = 10h=10, then V=π(52)(10)=785.4 cm3V = \pi (5^2)(10) = 785.4 \, \text{cm}^3V=π(52)(10)=785.4cm3.
Cone 🎩
Formula: V=13πr2hV = \frac{1}{3} \pi r^2 hV=31πr2h
- rrr: Radius of the base.
- hhh: Height of the cone.
Example: If r=3r = 3r=3 and h=6h = 6h=6, then V=13π(32)(6)=56.55 cm3V = \frac{1}{3} \pi (3^2)(6) = 56.55 \, \text{cm}^3V=31π(32)(6)=56.55cm3.
Rectangular Solid (Box) 📦
Formula: V=l×w×hV = l \times w \times hV=l×w×h
- lll: Length
- www: Width
- hhh: Height
Example: If l=4l = 4l=4, w=3w = 3w=3, and h=2h = 2h=2, then V=4×3×2=24 cm3V = 4 \times 3 \times 2 = 24 \, \text{cm}^3V=4×3×2=24cm3.
Pyramid 🏯
Formula: V=13AhV = \frac{1}{3} A hV=31Ah
- AAA: Base area
- hhh: Height
Example: If the base is a square with side s=4s = 4s=4, and h=6h = 6h=6, then V=13(42)(6)=32 cm3V = \frac{1}{3} (4^2)(6) = 32 \, \text{cm}^3V=31(42)(6)=32cm3.
Prism 🔺
Formula: V=AhV = A hV=Ah
- AAA: Base area
- hhh: Height
Example: For a triangular prism with base area 10 cm210 \, \text{cm}^210cm2 and h=5h = 5h=5, V=10×5=50 cm3V = 10 \times 5 = 50 \, \text{cm}^3V=10×5=50cm3.
| Shape | Name | Formula |
|---|---|---|
 | Cube | V=s3V=s3 |
 | Right rectangular prism (cuboid, box) | V=lwhV=lwh |
 | Prism or cylinder | V=AhV=Ah |
 | Pyramid or cone | V=13AhV=31Ah |
 | Sphere | V=43πr3V=34πr3 |
Volume Units and Conversion Table
Metric Volume Units
| Unit | Symbol | Conversion to Base Units |
|---|---|---|
| Cubic centimeters | cm³ | 1 cm³ = 0.001 liters |
| Milliliters | mL or ml | 1 mL = 0.001 liters |
| Liters | L | 1 L = 1,000 mL |
| Cubic meters | m³ | 1 m³ = 1,000 liters |
US Standard Volume Units
| Unit | Symbol | Conversion to Base Units |
|---|---|---|
| Fluid ounces | fl oz | 1 fl oz = 29.5735 mL |
| Cups | cup | 1 cup = 8 fl oz = 236.588 mL |
| Pints | pt | 1 pt = 2 cups = 473.176 mL |
| Quarts | qt | 1 qt = 2 pt = 946.353 mL |
| Gallons | gal | 1 gal = 4 qt = 3.78541 L |
Imperial (UK) Volume Units
| Unit | Symbol | Conversion to Base Units |
|---|---|---|
| Fluid ounces | fl oz | 1 fl oz = 28.4131 mL |
| Cups | cup | 1 cup = 10 fl oz = 284.131 mL |
| Pints | pt | 1 pt = 2 cups = 568.261 mL |
| Quarts | qt | 1 qt = 2 pt = 1.13652 L |
| Gallons | gal | 1 gal = 4 qt = 4.54609 L |
Other Units
| Unit | Symbol | Conversion to Base Units |
|---|---|---|
| Cubic inches | cu in | 1 cu in = 16.3871 mL |
| Cubic feet | cu ft | 1 cu ft = 28,316.8 mL = 28.3168 L |
Key Takeaway: Volume calculations are essential for various applications, from filling a pool 🏊 to baking 🍰. Use these formulas and conversion tables to master the art of volume measurement! 🌟