Volume & 3D Surface Area Calculator

Calculate the volume and surface area of 3D geometric shapes: sphere, cylinder, cone, cube, rectangular prism, and pyramid with unit conversions.

How to Use Volume & 3D Surface Area Calculator

  1. Select 3D Shape: Choose Cube, Cylinder, Sphere, Cone, or Rectangular Prism.
  2. Input Dimension: Enter radius, height, length, or width.
  3. Press Calculate: Immediately get the volume in liters, gallons, cubic meters ($m^3$), and cubic feet ($ft^3$).

Explanation & How It Works

Volume measures the amount of three-dimensional space that is contained within a closed surface. Important for calculating the capacity of water tanks, concrete volumes, freight, and chemicals.

Calculation Formula & Rules

Sphere: V = (4/3) × π × r³

Cylinder: V = π × r² × h

Cone: V = (1/3) × π × r² × h

Rectangular Box: V = length × width × height

Example Calculation

Example: A water cylinder has radius 1 m and height 2 m.

  1. Formula: π × r² × h.
  2. 3.14159 × 1² × 2 = 6.283 m³.
  3. Convert to liters ($1 m^3 = 1000 L$): 6,283 Liters.

Liquid Volume Conversion Equivalents

  • 1 Cubic Meter ($m^3$) = 1,000 Liters = 264.17 US Gallons
  • 1 Liter = 1,000 Milliliters = 0.264 Gallons

Frequently Asked Questions

How many liters of water are in one cubic meter? ▼
Exactly 1,000 liters of water fit inside one cubic meter (1 m³).