How do you calculate the surface of a cuboid?

How do you calculate the surface?

1. Of course, you first need to know the three important lengths for a cuboid - the height, the width and the depth. The three sides are usually referred to as a, b and c.
2. The surface of a cuboid consists of six rectangular sides, like a cube. However, these pages are not all the same size. Only two of the six sides are identical: the front and back, the lid and the bottom, as well as the two side parts of a cuboid are the same size.
3. Thus, one can see the entire surface O of a cuboid through the three different surfaces A.₁, A₂ and A₃ can be specified. In general:
   O_total = 2A₁ + 2A₂ + 2A₃ .
4. The three side surfaces A₁, A₂ and A₃ can be calculated with the edge lengths a, b, c and the following formulas.
   A.₁ = a × b,
   A.₂ = b × c,
   A.₃ = a × c.
5. When you have calculated the three side surfaces, you only need to enter these values ​​into the formula for the entire surface O
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   _total insert. Alternatively, you can of course also use the side lengths in the following summarized formula:
   O_total = 2 × a × b + 2 × a × c + 2 × b × c.


Length Width Height - this is how you practice calculating areas and solids

Many people perceive mathematics as not application-related and very abstract, ...

6. If you don't have a normal cuboid, but a cube with all edges of length a, you can use this simplified formula to calculate the surface area:
   O_total = 6 × a².

This is how you determine the volume of a cuboid

1. The calculation of the volume V of a cuboid is just as easy as the surface calculation. For this you also need the side lengths a, b and c.
2. You determine the volume with the formula:
   V = a × b × c.
3. If your cuboid is a cube, you can calculate the volume with the formula V = a³ calculate.