Cube and Cuboid mensuration volume area Lateral total surface ~ Arithmetic, Mensuration Formulas and competitive Math Tricks

# Arithmetic, Mensuration Formulas and competitive Math Tricks

## Cube and Cuboid mensuration volume area Lateral total surface

New Math Tricks is 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 chapter. The tutorial has made from basic level to exam level for your confidence and performance well in the upcoming competitive exam. Before discussing the shortcut formula and aptitude solution, we should have the basic concept of Cuboid and cube. So, look at below some basic properties and mensuration formulas of Cube and Cuboid.

## Cube and Cuboid properties and formulas

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

Look at the below image which are a cube and cuboid forms.

As you have looked the above image where we can see six faces(side). Also, it has vertices. The vertices are the longest line of a cube and cuboid. 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 this 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.
So, friend, these are the basic shortcut formulas for the cube and cuboid 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 the cube and cuboid. Thanks for reading and learning to day's tutorial on cube and cuboid.