Question

3. What is the difference in the number of edges and the number of faces of
a cube?​

Answer 1

Answer:

Three-dimensional shapes have many attributes, such as vertices, faces, and edges. The flat surfaces of the 3D shapes are called the faces. The line segment where two faces meet is called an edge. A vertex is a point where three edges meet.

What are Three-Dimensional Shapes?

Three-dimensional shapes are called shapes that can be evaluated in 3 directions. Sometimes, these shapes are called solids. The three dimensions of the three-dimensional shapes include length, width, and height. Let us discus the number of edges, faces and vertices of various three-dimensional shapes.

Cube:

A cube is a 3-D solid shape, which has 6 sides. Along with that, it has 8 vertices and 12 edges such that 3 edges meet at one vertex point.

Cuboid

A cuboid is a polyhedron having six faces, eight vertices and twelve edges.

Cone

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base to a point called the apex or vertex.

A number of edges zero, the number of vertices is zero and the number of the face is 1.

Cylinder

A cylinder is one of the basic shapes, in Mathematics, which has two parallel circular bases at a distance. LPG gas-cylinder is one of the real-life examples.

A number of edges are two, the number of vertices is zero and the number of the flat faces are 2.

Sphere

A sphere is an object that is an absolutely round geometrical shape in three-dimensional space.

A number of edges zero, the number of vertices is zero and the number of the faces is zero.

Triangular pyramid

When you observe the shape of the Great Pyramid of Egypt, then you will notice that the pyramid has a base, that is square-shaped. Hence, those pyramids are called Square Pyramid. Similarly, in the triangular pyramid, the base of the same is triangular.

A number of edges six, the number of vertices is four and the number of the faces is four.

Rectangular prism

A rectangular prism is a 3D shape. It has six faces, and all the faces of the prism are rectangles. Both the bases of a rectangular prism must be a rectangle. Also, the other lateral faces will be rectangles. It looks like cuboid.

A number of edges twelve, the number of vertices is eight and the number of rectangular faces is six.

Answer 2

Cube:

$\setlength{\unitlength}{4mm}\begin{picture}(10,6)\thicklines\put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(4.6,-0.5){\bf\large }\put(13.5,3){\bf\large }\put(-4,5.8){\bf\large }\end{picture}$

Number of edges of a cube:

8

Number of faces of a cube:

6

Difference = 2