Cube and Cuboid mensuration formulas of volume, area, surface

We are covering all mensuration topics and tricks. Today, we are going to discuss the properties, shortcuts formula, aptitude question and tricky solution of cube and cuboid mensuration. The tutorial has made from the basic to exam level for your confidence and performance well in the upcoming competitive exam. Before discussing the shortcut formula, we should have the basic concept of cube and Cuboid. So, look at below some basic properties and mensuration formulas.

Cube and Cuboid properties and formulas

Cube and cuboid are made with height, length and base and six sides (face). And the shape is 3 dimensional. We have covered triangle, circle and quadrilateral which are 2-dimensional shapes.

Look at the below image which is a cube and a cuboid.

As you have looked at the above image where we can see six faces(side). Also, it has vertices. The vertices are the longest line. In competitive math, generally ask volume, area and vertices length. Now, we are moving to mensuration formulas for Cube and Cuboid.

Cube mensuration formulas

A cube has 12 equal edges and six faces. As all edges are equal so height, width and base are equal. Therefore, the area of each face also equal. If we have to find the total surface area, we will add areas of all (six) faces. And each face can be calculated as edge^2. So, the shortcut formula for the total surface area of cube became
 (6 X area of one face) or (6*Edge^2). 
When we have to calculate the lateral surface area of a cube then we multiply by 4 with the area of one face. Getting confusion with these math tricks? Look at below image to be clear the shortcut formula.

Lateral and Total Surface Area formula

And the volume of a cube is edge^3 Square unit.

Volume and area formula of cuboid mensuration

Every cube is cuboid but all cuboids are not cubes.  So differently, you should know shortcuts volume and area formula of the cuboid. The difference between cube and cuboid is on edges length. The different length (maximum three variants) may be in cuboid where equal in a cube. So length, base and height may be different. That's why in the formula of the cuboid, becomes different from the cube. 
Cuboid-total-lateral-surface-area-volume-math-tricks-total-surface-lateral surface
So, friend, these are the basic shortcut formulas to calculate volume, area, total surface and lateral surface area of cube and cuboid. In the next tutorial, we will practice some mensuration problems related to this. Thanks for reading and learning.
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