Cube and Cuboid mensuration tricks for volume, area-Lateral and total ~ New math tricks for quantitative aptitude

New Math Tricks is for competitive math. It tries to help with the quantitative aptitude question and easy solution by using math tricks. All the pages are created with the shortcut formula and aptitude question for competitive exams.

Thursday, 25 January 2018

Cube and Cuboid mensuration tricks for volume, area-Lateral and total

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 math 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 basic properties and short tricks for the Cube and cuboid mensuration tricks.

Cube and Cuboid shortcut formula

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 is a cuboid form.
Cube-Cuboid-mensuration-shortcut-formula-maths-tricks

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 shortcuts formula for Cube and Cuboid.



Cube mensuration shortcut 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 one face"s area) or (6*Edge^2). When we have to calculate the lateral surface area of a cube then we multiply one faced area by 4. getting confusion with this math tricks? Look at below image to be clear the shortcut formula.

Lateral and Total Surface Area


Cube-total-lateral-surface-area-volume-math-tricks
And the volume of a cube is edge^3 Square unit.

Cuboid shortcuts formula for area and volume

Every cube is cuboid but all cuboid are not a cube.  So differently, you should know shortcuts area and volume formulas 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 for the cube and cuboid to calculate volume area, total surface area and lateral surface area of cube and cuboid. In the next tutorial, we will practice some mensuration problem related to the cube and cuboid. Thanks for reading and learning to days tutorial on cube and cuboid.


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