Solid Shape Volume & Surface Area

Solid Shape Volume & Surface Area

Local Processing

Volume and surface area of cylinders, boxes, cones, spheres, pyramids, frustums and tori, and a box’s diagonal.

How It Works & Processing Standards

Enter values above to calculate results automatically. Check each input field for guidance and units.

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Fourteen solid geometry formulas in one tool. Pick the shape and volume or surface area under "Calculation" and only the needed fields appear.

What You Can Do

Cylinder, cone, frustum
Volume πr²h and πr²h/3, surface areas, frustum volume
Box
Volume, surface area and space diagonal
Sphere and torus
Sphere volume 4/3πr³ and area 4πr², torus volume and area
Pyramid
Volume and surface area from base area, perimeter and height

How to Use Solid Shape Volume & Surface Area

  1. 1
    Choose a calculationPick the shape and the value.
  2. 2
    Enter dimensionsUse one unit for radius, height, length and width.
  3. 3
    Read the resultVolume is in cubic units, surface area in square units.

Examples

Cylinder, radius 3, height 10
Input: Radius 3, height 10
Result: 282.743338823
Sphere, radius 6
Input: Radius 6
Result: 904.778684234
Surface of a 4 × 3 × 2 box
Input: Length 4, width 3, height 2
Result: 52

Common Use Cases

  • The capacity of a tank, pot or cup
  • Wrapping paper for a shipping box
  • Estimating the volume and weight of a round part

Frequently Asked Questions (FAQ)

How do I get liters?

Centimeter inputs give cm³. 1,000 cm³ = 1 L, so divide by 1,000, or use the Volume Converter.

Does the cone surface area include the base?

Yes. It is the lateral area (πrl) plus the base (πr²).

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