We are covering all mensuration topics and tricks. Today, we will discuss the properties, shortcuts law, questions, and tricky solutions of cube and cuboid mensuration. The tutorial has been made from the basic to exam level for your confidence and performance 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.
Look at the below image, which is a cube and a cuboid.
As you have looked at the above image, 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, height, width, and base are equal. Therefore, the area of each face is 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 the cube became
(6 X area of one face) or (6*Edge^2).
When we have to calculate a cube's lateral surface area, we multiply by 4 with the area of one face. Getting confusion with these math tricks? Look at the below image to be clear of the shortcut formula.
And the volume of a cube is the edge^3 Square unit.
Volume and area formula of cuboid mensuration
Every cube is a 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 in edge length. The different lengths (maximum three variants) may be in Cuboid were equal in a cube. So length, base, and height may be different. That's why the formula of the Cuboid becomes different from the cube.
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-related problems. Thanks for reading and learning.
Read more Arithmetics Chapter.
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 triangles, circles and quadrilaterals, 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, 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, height, width, and base are equal. Therefore, the area of each face is 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 the cube became
(6 X area of one face) or (6*Edge^2).
When we have to calculate a cube's lateral surface area, we multiply by 4 with the area of one face. Getting confusion with these math tricks? Look at the below image to be clear of the shortcut formula.
Lateral and Total Surface Area formula
And the volume of a cube is the edge^3 Square unit.
Volume and area formula of cuboid mensuration
Every cube is a 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 in edge length. The different lengths (maximum three variants) may be in Cuboid were equal in a cube. So length, base, and height may be different. That's why the formula of the Cuboid becomes different from the cube.
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-related problems. Thanks for reading and learning.
Read more Arithmetics Chapter.
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Definitely, you would understand that Math Is Fun by learning the above chapters.
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