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Geometry & Measurement

Volume & Surface Area Calculator

Pick a solid, enter the sizes shown, and get its volume and total surface area. The calculator shows the formula, the substitution and a units reminder.

Updated October 3, 2026Written and reviewed by Mateuss M.Method: how we calculate

Try an example:
AnswerVolume 27 · Surface area 54
Step-by-step working 3 steps
  1. 1
    Volume
    V = s³ = 3³ = 27
  2. 2
    Surface area
    A = 6s² = 6 × 3² = 54
  3. 3
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

How to use the volume & surface area calculator

  1. Choose the solid.
  2. Enter the sizes; unused boxes disappear automatically.
  3. Read the volume and surface area.
  4. Check units: cubic for volume, square for area.

Formulas used

Cube: V = s³,  A = 6s²
Cuboid: V = lwh,  A = 2(lw + wh + lh)
Cylinder: V = πr²h,  A = 2πr(r + h)
Sphere: V = 4/3 πr³,  A = 4πr²
Cone: V = 1/3 πr²h,  A = πr(r + l),  l = √(r² + h²)

Surface area here is the total, including any flat ends or base.

Worked examples

Each example below is generated by the same calculator you used above, so the working always matches the answer.

Cube, side 3
AnswerVolume 27 · Surface area 54
Step-by-step working 3 steps
  1. 1
    Volume
    V = s³ = 3³ = 27
  2. 2
    Surface area
    A = 6s² = 6 × 3² = 54
  3. 3
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

Box 2 × 3 × 4
AnswerVolume 24 · Surface area 52
Step-by-step working 3 steps
  1. 1
    Volume
    V = l × w × h = 2 × 3 × 4 = 24
  2. 2
    Surface area
    A = 2(lw + wh + lh) = 2(6 + 12 + 8) = 52
  3. 3
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

Cylinder r 3, h 10
AnswerVolume 282.7433 · Surface area 245.0442
Step-by-step working 3 steps
  1. 1
    Volume
    V = πr²h = π × 3² × 10 = 282.743339
  2. 2
    Surface area
    A = 2πr(r + h) = 2π × 3 × (3 + 10) = 245.044227
  3. 3
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

Sphere, r 6
AnswerVolume 904.7787 · Surface area 452.3893
Step-by-step working 3 steps
  1. 1
    Volume
    V = 4/3 πr³ = 4/3 × π × 6³ = 904.778684
  2. 2
    Surface area
    A = 4πr² = 4π × 6² = 452.389342
  3. 3
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

Cone r 3, h 4
AnswerVolume 37.6991 · Surface area 75.3982
Step-by-step working 4 steps
  1. 1
    Slant height
    l = √(r² + h²) = √(3² + 4²) = 5
  2. 2
    Volume
    V = 1/3 πr²h = 37.699112
  3. 3
    Surface area
    A = πr(r + l) = π × 3 × (3 + 5) = 75.398224
  4. 4
    Units

    If lengths are in cm, volume is in cm³ and surface area in cm². Keep every length in the same unit.

Common mistakes to avoid

Using the diameter as the radius

Every circular formula here takes the radius. Halve the diameter first.

Confusing height with slant height

A cone’s volume uses the vertical height; its surface area uses the slant height l.

Mixing units

Convert every length to the same unit before calculating.

Frequently asked questions

Is the surface area total or lateral?

Total. For a cylinder it includes both circular ends; for a cone it includes the base.

Why does the cone volume have a third?

A cone holds exactly one third of the cylinder with the same base and height.