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Rectangular Prism Surface Area Calculator

Calculate the surface area of a rectangular prism with 2(lw + lh + wh). Includes the formula, a worked example, and reference sizes for boxes and rooms.


Calculate surface area of rectangular prism

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 rectangular prism with length 8 cm, width 5 cm, and height 3 cm:

textsurfacearea=2(8times5+8times3+5times3)\\text{surface area} = 2(8 \\\\times 5 + 8 \\\\times 3 + 5 \\\\times 3)=2(40+24+15)=2times79=158textcm2= 2(40 + 24 + 15) = 2 \\\\times 79 = 158 \\\\text{ cm}^2

Result: 158 cm²

How to use

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

Related formulas

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

Common use cases

  • Box and packaging calculations
  • Room painting and wallpapering
  • Shipping container calculations
  • Construction and architecture

FAQ

What if all sides are equal? The prism 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 rectangular prism? Subtract the area of the missing face(s).

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