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,
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.
Example 1: Find the total surface area of the cuboid with dimensions length = 4 cm, breadth = 3cm, and height = 7 cm.
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
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.