Enter the length, width, and height of the cuboid into the calculator to determine the surface area; this calculator can also evaluate any of the variables given the others are known.

Surface Area Of A Cuboid Formula

The following formula is used to calculate the surface area of a cuboid:

SA = 2lw + 2lh + 2wh

Variables:

  • SA is the surface area of the cuboid
  • l is the length of the cuboid
  • w is the width of the cuboid
  • h is the height of the cuboid

To calculate the surface area of a cuboid, multiply the length by the width and multiply the result by 2. Then, multiply the length by the height and multiply the result by 2. Finally, multiply the width by the height and multiply the result by 2. Add all three results together to get the total surface area of the cuboid.

What is a Surface Area Of A Cuboid?

The surface area of a cuboid is the total area of all its six rectangular faces. A cuboid, also known as a rectangular prism, is a three-dimensional geometric figure with six faces, all of which are rectangles. The surface area is calculated by adding the areas of all these faces. The formula to calculate the surface area of a cuboid is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the cuboid. This formula essentially calculates the area of three pairs of identical rectangles and adds them together. The unit of measurement for surface area is typically square units, such as square centimeters or square inches.

How to Calculate Surface Area Of A Cuboid?

The following steps outline how to calculate the Surface Area of a Cuboid.


  1. First, determine the length of the cuboid (L).
  2. Next, determine the width of the cuboid (W).
  3. Next, determine the height of the cuboid (H).
  4. Next, use the formula SA = 2(LW + LH + WH) to calculate the Surface Area.
  5. Finally, calculate the Surface Area of the Cuboid.
  6. After inserting the values and calculating the result, check your answer with a calculator.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Length (L) = 5

Width (W) = 3

Height (H) = 4