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:
- 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:
- Know the length (
l), width (
w), and height (
h) of the shape.
- Use the surface area of a cuboid formula:
- Substitute the values for length, width and height - say
8cm, respectively. Then solve the equation
- Then solve the equation:
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
6 cm, respectively. Here is what we do:
- Use the surface area formula:
s = 2(l×w + w×h + l×h) sq units.
lthe subject of the formula:
l = (s/2 - wh)/(w+h) units.
- Substitute the values:
= (288/2 - 6 × 4)/(4+6) cm.
=( (144 - 24) / 10) cm.