📦 Volume Calculator

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Volume
Calculator

The Volume Calculator helps you calculate the volume of different three-dimensional shapes such as cubes, cuboids, cylinders, and spheres. Volume calculation is essential in construction, engineering, packaging, and academic studies.

By entering the required dimensions, this calculator instantly applies the correct mathematical formulas to provide accurate results, eliminating the need for manual calculations and reducing the risk of errors.

This tool is especially useful for students learning geometry, professionals working on measurements, and anyone needing quick volume estimations. The calculator is easy to use, fast, and accessible on all devices.

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🧮 Volume Calculator – Quick Guide

Functions

SymbolMeaning
hHeight
sSlant height
aSide length
eLateral edge length
rHalf of side length (r = a / 2)
VVolume
LLateral surface area
BBase surface area
STotal surface area

📚 Complete Calculator Guide

🏔 Pyramid

  • Volume:V=31​a2h
  • Lateral Surface Area:L=aa2+4h2 ​
  • Base Surface Area:B=a2
  • Total Surface Area:S=L+B

🧊 Cube

  • Addition/Subtraction: 3 + 5 = 8, 7 - 9 = -2
  • Multiplication/Division: 13 × 3 = 39, 25 ÷ 2 = 12.5
  • Repeating: Use = repeatedly to repeat the last operation.

🍦 Circular Cone

  • Volume:V=31​πr2h
  • Lateral Surface Area:L=πrl
  • Base Surface Area:B=πr2
  • Total Surface Area:S=L+B

🏺 Cylinder

  • Volume:V=πr2h
  • Lateral Surface Area:L=2πrh
  • Base Surface Area:B=πr2
  • Total Surface Area:S=L+B

⚪ Sphere

  • Volume:V=43​πr3
  • Lateral Surface Area:L=4πr2
  • Base Surface Area:B=πr2
  • Total Surface Area:S=L+B

🌗 Hemisphere

  • Volume:V=23​πr3
  • Lateral Surface Area:L=2πrh
  • Base Surface Area:B=πr2
  • Total Surface Area:S=L+B

📦 Rectangular Prism

  • Volume:V=lwh
  • Lateral Surface Area:L=2lh+2wh
  • Base Surface Area:B=lw
  • Total Surface Area:S=L+B

🔻 Conical Frustum

  • Volume:V=13​πh(r12+r22+r1r2)
  • Lateral Surface Area:L=π(r1+r2)l
  • Base Surface Area:B=πr2
  • Total Surface Area:S=L+B

💊 Capsule

  • Volume:V=πr2(34​r+a)
  • Surface Area:S=2πrh+2πr2

🟣 Spherical Cap

  • Volume:V=13​πh2(3r+h)
  • Surface Area:S=2πrh+2wh
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