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Cuboid Surface Area Calculator

Calculate the surface area of a cuboid with 2(lw + lh + wh). Includes the formula, a worked example, and how it differs from a cube.


Calculate surface area of cuboid

Formula

textsurfacearea=2(lw+lh+wh)\\text{surface area} = 2(lw + lh + wh)

Where l is the length, w is the width, and h is the height.

Worked example

Calculate the surface area of a cuboid with length 12 cm, width 8 cm, and height 5 cm:

textsurfacearea=2(12times8+12times5+8times5)\\text{surface area} = 2(12 \\\\times 8 + 12 \\\\times 5 + 8 \\\\times 5)=2(96+60+40)=2times196=392textcm2= 2(96 + 60 + 40) = 2 \\\\times 196 = 392 \\\\text{ cm}^2

Result: 392 cm²

How to use

  1. Enter the length of the cuboid
  2. Enter the width of the cuboid
  3. Enter the height of the cuboid
  4. Click "Calculate" to see the surface area

Related formulas

  • Volume: ltimeswtimeshl \\\\times w \\\\times h
  • Space diagonal: sqrtl2+w2+h2\\\\sqrt{l^2 + w^2 + h^2}
  • Perimeter of base: 2(l+w)2(l + w)

Common use cases

  • Shipping container calculations
  • Room and building surface areas
  • Packaging design
  • Construction and architecture

FAQ

What if all sides are equal? The cuboid is a cube with surface area 6s26s^2.

How is this different from volume? Surface area is the total area of all 6 faces (2D); volume is the space inside (3D).

Can I calculate from volume? No, you need all three dimensions separately.

What about an open cuboid? Subtract the area of the missing face(s).

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