3D forms with six faces, eight vertices, and twelve edges are called cuboids & cubes. Cuboids & cubes are fundamental 3-dimensional objects with six faces, eight vertices, and twelve edges. On the other hand, cubes are the 3D extension of a square, but cuboids have varied lengths on each of their sides. It follows that they have different sizes in terms of both areas and volumes. Both a cuboid and cube have right angles at their intersections. Despite the fact that both the cuboid and the cube are three-dimensional shapes, there are some differences between them. A cube’s faces are square in form, but the faces of a cuboid are rectangular in shape.
What is Cuboid?
Rectangular faces constitute a cuboid, a three-dimensional shape with rectangular proportions. Box-shaped cuboids are known as cuboids. There are 12 sides and 8 vertices to a cuboid. The cuboid’s faces and edges aren’t equal. On the other hand, the cuboid’s opposing faces are equal. L for length; B for breadth; H for height.
L=b=h
The bottom face of the cuboid may be any face, while the other four neighboring faces are referred to as the cuboid’s lateral faces.
Characteristics of Cuboid
A cuboid is a solid cube with six parallel sides.
Both sides of the cuboid face the same distance from the Centre.
A cuboid’s opposite edges are equal.
The vertex of a cuboid is formed by the point where three faces meet.
Cuboid’s angles are at 90 degrees.
how to make a cube and cuboid
There are four sides to a cuboid and the corners or vertices are all 90 degrees. Another thing to note is that both faces are equal. A book, for instance, may be thought of as a cuboid. It features six surfaces, each with the identical proportions on both sides. While walking around your home, you’ll likely notice a number of things that have the form of a rectangular box, such as bookshelves and cabinets. Examples of rectangular-shaped items include furniture, books, and televisions.
What is a Cube?
A cube is a three-dimensional object that is created when six identical squares bind together in an enclosed configuration. There are eight vertices and six faces in a cube. That is to say, a cube is a cuboid whose three dimensions are all the same. a cube is a three-dimensional object made up of square-shaped faces that are of the same height. A cube’s axis intersects at 90o. A cube contains six equal faces, all of which are squares. It has eight vertices and twelve identical edges.
Faces – 6 faces
Vertices – 8 vertices
Edges – 12 edges
Characteristics of Cube
All the sides of a cube are square.
There is no difference between the faces and edges of anything.
As a result, the cube’s edges are all at 90 degrees.
It’s a four-way match between each face and the four neighboring faces.
The three faces and three edges of each of the vertices are connected to one another.
Similarly, the edges that face each other are both parallel and equal.
Surface Area of Cylinder
In geometry, the surface area of a cylinder is defined as the entire space covered by the flat surfaces of the cylinder’s bases, together with the curved surface of the cylinder. Each of the cylinder’s two components contributes to the overall surface area: one curved surface area and two flat surface areas.
Surface Area of a Cylinder Calculated Using a Formula
It is necessary to apply the formula for the surface area of the cylinder in order to determine the surface area occupied by the bases of the cylinder as well as by the curved surface of the cylinder. Because a cylinder has a curved surface, we may express the curved surface area of the cylinder as well as the overall surface area of the cylinder. There are two types of surface areas on a cylinder: the Total Surface Area and the Curved Surface Area.
Using the following formulae, given that the radius of a cylinder’s base is “r” and that the height of a cylinder is “h,” the surface area of a cylinder may be calculated as follows:
a measure of the total surface area T = 2πr(r + h)
Surface Area with a Curve , S = 2πrh
cube cuboid and cylinder formula
Cuboid | Cube | Cylinder |
Total Surface Area = 2(LB+BH+LH) | Total surface area = 6 (a*a) | Total surface area 2πr(r + h) |
Volume = L×BH | Volume = a×aa | |
Lateral surface area = 2H(LB) | Lateral surface area = 4(aa) | Curved surface area 2πrh |
Perimeter=4(L+B+H) | Diagonal = 3a | |
Diagonal = {(LL)+(BB)+(HH)} | Perimeter = 12a |
Cuboid vs. Cube?
S.No | Cuboid | Cube |
1 | The length, width, and height of a cuboid are not all equal. | The length, width, and height of a cube are all the same, i.e. all the edges are equal. |
2 | A rectangle in three dimensions is known as a “cuboid.” | A square in three dimensions is known as a “cube.” |
3 | Each of the cuboid’s six sides is a rectangle. | Each of the cube’s six sides is a square. |
4 | It has 12 diagonals. However, three of the four diagonals in the set have different lengths. | There are exactly the same number of equal-sized diagonals over the whole surface. |
5 | There are 4 internal diagonals to this structure. It’s only that the two pairs have a different length | The four internal diagonals are all the same length. |
6 | Cuboids include objects like Bricks and Duster. | Ice cubes, dice, and Rubik’s cubes are all examples of cubes. |
Conclusion
In contrast to the cube, which has all of its edges (sides) of equal length, the edges of a cuboid are all of varying lengths. For comparison, all sides of the cube are of the square form, but all of the sides of the cuboid are of the rectangular shape. A cube’s surface area is equal on all of its faces, but a cuboid’s surface area is equal only on the opposing faces of the cuboid. The diagonals of a cube are all equal, but the diagonals of parallel sides of a cuboid are the only ones that are equal to one another.