体积计算器

计算不同几何形状的体积，包括立方体、长方体、圆柱体和球体。输入所需尺寸，即可获得即时结果和详细计算步骤。

体积计算器

选择形状并输入所需尺寸来计算其体积。

结果

Real-world Applications

Construction: Calculate material volumes for building projects

Manufacturing: Determine container volumes for packaging

Engineering: Design tanks and vessels

Science: Measure volumes in laboratory experiments

Home: Plan storage solutions and renovations

Calculation Tips

  • Always use consistent units for all measurements
  • Double-check your measurements before calculating
  • Round results to appropriate decimal places
  • Consider using different shapes to approximate complex objects
  • For irregular shapes, break them down into simpler components

Common Volume Units

Metric Units

  • Cubic meters (m³)
  • Cubic centimeters (cm³)
  • Liters (L)

Imperial Units

  • Cubic feet (ft³)
  • Cubic inches (in³)
  • Gallons (gal)

什么是体积？

体积是三维物体所占据的空间量，以立方单位计量。不同形状有不同的体积计算公式。

体积公式

  • 立方体：V = a³（其中a为边长）
  • 长方体：V = l × w × h（其中l为长，w为宽，h为高）
  • 圆柱体：V = πr²h（其中r为半径，h为高）
  • 球体：V = (4/3)πr³（其中r为半径）
  • Cone: V = (1/3)πr²h (where r is base radius, h is height)
  • Capsule: V = πr²h + (4/3)πr³ (where r is radius, h is height)
  • Square Pyramid: V = (1/3)a²h (where a is base edge, h is height)
  • Hollow Tube: V = πh(R² - r²) (where R is outer radius, r is inner radius, h is height)
  • Ellipsoid: V = (4/3)πabc (where a, b, c are semi-axes)
  • Conical Frustum: V = (1/3)πh(R² + r² + Rr) (where R is bottom radius, r is top radius)