Cuboid Surface Area Calculator

Created by Adena Benn
Reviewed by Aleksandra Zając, MD
Last updated: Jun 05, 2023

Are you at a loss as to how to calculate the surface area of a cuboid? Our cuboid surface area calculator will help you to sort out any questions or doubts you may have quickly and easily. Keep reading to learn:

  • The meaning of cuboid;
  • How many vertices a cuboid has;
  • How to use our surface area of a cuboid calculator;
  • The surface area of a cuboid formula; and
  • How to find the surface area of a cuboid manually.

What does the word cuboid mean?

A cuboid is a solid convex shape with each of its six faces shaped like a rectangle. It is also known as a rectangular prism. Some good real-world examples of cuboids are:

  • A book;
  • A mattress; and
  • A brick.

How many vertices does a cuboid have?

A cuboid has eight vertices. The vertices of a cuboid all form angles of 90 degrees.

How to use this surface area of a cuboid calculator

To use the surface area of a cuboid calculator, enter the following:

  • Length
  • Width; and
  • Height of the cuboid.

Our calculator will immediately return the total surface area of the solid.

Keep in mind you can use any units you wish - our tool will deal with it.

How to find the surface area of a cuboid

To find the surface area of the cuboid(s), you first need to:

  1. Know the length (l), width (w), and height (h) of the shape.
  2. Use the surface area of a cuboid formula:
s=2(l×w+w×h+l×h) sq units\small s = 2(\text{l×w} + \text{w×h} + \text{l×h})\ \text{sq units}
  1. Substitute the values for length, width and height - say 10, 7, and 8 cm, respectively. Then solve the equation
s=2((10×7)+(7×8)+(10×8)) cm2\small s = 2((10 × 7) + (7 × 8) + (10 × 8))\text{ cm}^2
  1. Then solve the equation:
s=2((10×7)+(7×8)+(10×8)) cm2=2((70)+(56)+(80)) cm2=2(206) cm2=412 cm2\small \begin{align*} s &= 2((10 × 7) + (7 × 8) + (10 × 8))\text{ cm}^2\\[.5em] &= 2((70) + (56) + (80))\text{ cm}^2\\[.5em] &= 2(206)\text{ cm}^2\\[.5em] &= 412\text{ cm}^2 \end{align*}

Similar calculators

Here are some similar calculators that may interest you:


How do I find the length of a cuboid from it's surface area?

Let's assume that the surface area, height, and width are 288, 4, and 6 cm, respectively. Here is what we do:

  1. Use the surface area formula:
    s = 2(l×w + w×h + l×h) sq units.
  2. Make l the subject of the formula:
    l = (s/2 - wh)/(w+h) units.
  3. Substitute the values:
    = (288/2 - 6 × 4)/(4+6) cm.
  4. Solve
    =( (144 - 24) / 10) cm.
    =120/10 cm.
    =12 cm.
Adena Benn
image of a rectangular prism, with length, height, width and diagonal marked
Length (l)
Width (w)
Height (h)
Surface area (s)
Diagonal (d)
Check out 23 similar 3d geometry calculators 📦
Area of a hemisphereCubeCube Calc: find v, a, d… 20 more
People also viewed…


Discount calculator uses a product's original price and discount percentage to find the final price and the amount you save.

Perimeter of a triangle with fractions

Our perimeter of a triangle with fractions calculator will never give you mixed results even though you can input mixed numbers!


This SVD calculator will help you discover what the singular value decomposition of matrices is all about.

Significant figures

The significant figures calculator performs operations on sig figs and shows you a step-by-step solution!
Copyright by Omni Calculator sp. z o.o.
Privacy policy & cookies
main background