Cube and Cuboid
In Geometry, we have studied different two-dimensional and three-dimensional figures, like the square, rectangle, circle, cube, cuboid, sphere, and many more. When we look at cube and cuboid at a glance they appear to be the same figure, but some of their properties distinguish them from each other. So let us study what is cube and cuboid, different properties of cube and cuboid, and see what is the difference between cube and cuboid?
What is a Cube?
A cube is a three-dimensional figure composed of square-shaped faces of the same size. All the angles of a cube meet at 900. A cube has 6 equal faces, and all the faces are square-shaped. It has 8 vertices and 12 equal edges.
The below figure represents a cube, where l is length, b is the breadth, and h is height and l = b = h. The length, breadth, and height represent the edges of the cube. And when the three edges meet at a point it is called a vertex.
Properties of Cube
A cube has all its faces square-shaped.
All the faces and edges are equal.
The angles of the cube are at right angles.
Each of the faces meets the other adjacent four faces.
Each of the vertices meets the three faces and three edges.
The edges opposite to each other are parallel and also equal.
What is a Cuboid?
A cuboid is a three-dimensional figure composed of rectangular faces. A cuboid is a box-shaped figure. A cuboid also has 12 edges and 8 vertices. The faces and edges of the cuboid are not equal. On the contrary the opposite faces of the cuboid are equal.
The below figure represents the cuboid. Where l is the length, b is the breadth, and h is the height,
l≠b≠h.
Any face can be the bottom face of the cuboid and the remaining four adjacent faces are called the lateral faces of the cuboid.
Properties of Cuboid
A cuboid consists of six rectangular faces.
Opposite faces of the cuboid are equal.
Opposite edges of a cuboid are equal.
The intersection of three faces is a vertex of a cuboid.
The angles of the cuboid are at right angles.
As we now know, what is a cube? What is a cuboid? Let us study cube and cuboid difference i.e cube vs cuboid.
What is the Difference between Cube and Cuboid
Though cube and cuboid are three-dimensional figures with 12 faces, 12 edges, and 8 vertices, they are different from each other. So let us study what is the difference between a cube and a cuboid? The properties which distinguish them from each other as follows:
Cube Vs Cuboid
These will make the concept of cube vs cuboid crystal clear.
Solved Examples
Example 1: Find the total surface area of the cuboid with dimensions length = 4 cm, breadth = 3cm, and height = 7 cm.
Solution:
We have,
Total Surface Area of cuboid = 2 (lb + bh + hl )
= 2 ( 4×3 + 3×7 + 7×4)
= 2 ( 12 + 21 + 28 )
= 2 x 61
= 122 cm2
So, the total surface area of this cuboid is 122cm2.
Example 2: Find the surface area of a cube having its sides equal to 5 cm in length.
Solution: Given length = edge = 5 cm
We have, Surface area of cube = 6 ( edge)2
= 6× 52
= 6 × 25
= 150 cm2
Quiz Time
The length, width, and height of a cuboid are 10 cm, 12 cm, and 14 cm respectively. Find the lateral surface area and total surface area of a cuboid.
If the value of the side of the cube is 9cm, then find the surface area and volume of the cube.
Similarities between Cube and Cuboid
The first thing which is similar between cube and cuboid is that they both have six faces.
The next similar thing between a cube and a cuboid is that they both have twelve edges.
The other thing which is similar between them is that they both have eight vertices.
FAQs on Difference Between Cube and Cuboid for JEE Main 2024
1. What is the main difference between a cube and a cuboid?
The main difference between a cube and a cuboid is that a cube has six faces which are all squares. On the other hand, a cuboid has six faces which are all rectangles. In short, a cube has a square-shaped face and a cuboid has a rectangular shaped face.
2. Are the shapes of cubes and squares the same?
No, cubes and squares are of different shapes. Cubes are three-dimensional figures having six square-shaped faces, whereas squares are two-dimensional figures which have all sides of them of equal length.
3. What is the best place to learn the difference between cube and cuboid?
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4. What is a cube formula?
A cube is a three-dimensional object, therefore space occupied by the cube will be 3D.
A cube is bounded by six square faces so the surface area will be calculated by adding the area of all the six square faces. Therefore the surface area of the cube is
Surface Area of Cube = 6(side)2 |
And the volume of the cube is the space occupied by it. The Volume of the cube will be calculated as
Volume = (side)3 |
5. Is the cube a square?
The basic differences between cube and square are dimensions. A square is a two-dimensional figure with two dimensions length and breadth, while a cube is a three-dimensional figure with three dimensions length, breadth, and height. The side faces of a cube are formed by squares. The square has four sides and four vertices, whereas the cube has 12 edges(sides) and 8 vertices.From these properties we can say the cube is a 3-dimensional figure formed by the square-shaped faces.