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CUBE AND CUBOID

The shape is the geometric figure of any object. Cube and Cuboid are two different shapes.

In our day-to-day life, we have seen many objects like lunch boxes, bangles, a tabletop, chalk, dice, and so on and so forth. A majority of these objects have a similar shape. Actually, a majority of these items are formed from six square planes of square planes. In mathematics, the shape of those objects can be a cuboid or cube. Right here, in this article, we are able to analyse the distinction between cube and cuboid.

The shape is the geometric figure of any object.

Three-dimensional shapes are those figures which consist of length, breadth, and height. Cube and Cuboid are also three-dimensional figures. They both have 6 faces, 8 vertices, and 12 edges. The only difference between them is that a Cube has its all sides equal whereas a cuboid does not.

Cube

Cube is a three–dimensional figure which has 6 faces, 8 vertices and 12 edges of the same length.

A cube is made up of six squares, the cube is shown in the given figure.

 






The figure is of a cube, let’s see how a cuboid looks like.




Cuboid

Cuboid is also a polyhedron which have six faces, eight vertices and 12 edges but not of equal dimensions. 

A cuboid is made up of six rectangles and can have squares.

 






The given figure is of cuboid, you can see that, each dimension are not equal.

Cube And Cuboid Difference

 

CUBE

CUBOID

  1. On the basis of sides dimensions-

Each side of a cube is of equal dimension.

On the basis of sides dimensions-

Cuboid does not have equal dimensions of its edges.

  1. On the basis of the base figure – 

The cube is made up of squares only.

On the basis of the base figure – 

the Cuboid Is made up of rectangles or squares, the faces of cuboids can be square also.

  1. On the basis of diagonals – 

The diagonals of a cube are equal.

On the basis of diagonals – 

All diagonals of cuboids are not equal.









Properties of Cube And Cuboid

  1. For Cuboid

  Faces Of Cuboid

As we know that, the cube is made up of six rectangles. You can see six faces in the given figure TUVW, TWSP, TUQP, UVRQ, PQRS, WVRS.

The top face and bottom face are opposite of each other that are, top – TUVW and bottom – PQRS. Similarly, UVRQ and TWPS, TUQP and WVRS are another two pairs of cuboids.

Faces other than opposite faces are adjacent faces. Faces joined with a face are adjacent to each other.

Base and Lateral Faces

We can consider any face as the base of a cuboid. The adjacent faces for the base of a cuboid are called the lateral faces. Usually, the surface on which a cuboid rests on is known to be the bottom of the cuboid.

 

Edges of Cuboid

The line segment between any two vertices is known as the edges of that cuboid. We can see in the figure, TU, UV, TW, WV, VR, QR, UQ, PQ, PS, SW, SR are the 12 edges of Cuboid. In which,

TU = WV = SR = PQ ,

TP = SW = VR = UQ ,

UV = TW = QR= PS

Vertices Of Cuboid

The point where three edges of cuboid intersect is known as vertex of cuboid. A Cuboid has 8 vertices, in the given figure P, Q, R, S, T, U, V, W are the eight vertices of a cuboid. 

 

  1. For Cube

                                         

Faces of Cube

A cube has Six faces, as shown in figure namely abcd, bcgf, bfea, adhe, hgfe, gcdh.

All faces are of square shape and the dimensions of each face are equal. 

Angles of Cube

All angles of a cube are 90 degrees.

Edges Of Cube

The opposite edges of the cube are parallel to one another.








Cuboid Formulas

 

TSA (Total Surface Area)

2(length × breadth + breadth × height + height × length) 

LSA (Lateral Surface Area)

2 Height ( length + breadth)

Volume

Length × breadth × height

Diagonal

l2+b2+h2

Perimeter

4 (l +b + h)



Cube Formulas

 

TSA (Total Surface Area)

6 × (side)2

LSA (Lateral Surface Area)

4 × (side)2

Volume

(side)3

Diagonal

3×side

Perimeter

12 × side














Steps To Make a cube and cuboid

  1. Begin making via drawing an L form as shown.

2.  Draw a vertical line on the free end.

 

3. Draw another line that completes the square.

4. Draw the first sideline from any of the points in four.

5. From another point, draw another sideline.

 

6. Draw a third sideline from the other vertex.

 

7. Connect the two ends of the sidelines.

8. Connect the open end with the vertex.

9. Your cube is ready, you can colour it for a creative look.

 

Conclusion

A cube and Cuboid are 3D  figures shaped with 6 faces, 8 vertices and 12 edges. The measurement of edges in a cube is the same however now not the same in a Cuboid. In this article, we discussed in detail the shapes, figures, and formulas of cube and Cuboid. The difference between the cube and Cuboid helps to compare these. This article facilitates to solve all problems based totally at the cube and Cuboid by using suitable formulae.



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What is the measure of all angles of a cuboid?

Solution: All angles of a cuboid are 90 degrees.

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