Formules

Calculatrice d’aire totale

Calculez l’aire totale d’un cube, d’un pavé droit, d’un cylindre, d’un cône ou d’une sphère — exactement en fonction de π, avec chaque partie détaillée.

Résultat

Saisissez les valeurs et appuyez sur Calculer pour voir le résultat.

Formule

Acuboid=2(lw+lh+wh)A_{\text{cuboid}} = 2(lw + lh + wh)

Six rectangular faces, in three matching pairs.

Acylinder=2πr2+2πrhA_{\text{cylinder}} = 2\pi r^2 + 2\pi r h

Two circular ends plus the curved side.

Acone=πr2+πrl,l=r2+h2A_{\text{cone}} = \pi r^2 + \pi r l,\quad l = \sqrt{r^2 + h^2}

The base plus the curved surface, using the slant height l.

Asphere=4πr2A_{\text{sphere}} = 4\pi r^2

Four times the area of a circle with the same radius.

Comment utiliser cette calculatrice

  1. Choose the shape and enter its measurements in the same unit.
  2. Press Calculate. Areas come out in that unit squared.

Exemple corrigé

A cylinder with radius 3 and height 5

The two circular ends: 2π × 3² = 18π.

The curved side: 2π × 3 × 5 = 30π.

Total surface area = 18π + 30π = 48π ≈ 150.796447.

Questions fréquentes

What is the difference between surface area and volume?

Surface area is the area of the outside (how much paint covers it); volume is the space inside (how much it holds).

What is the slant height of a cone?

The distance from the tip down the side to the edge of the base: l = √(r² + h²).

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