Question

Draw a diagram to represent a cube. Label its vertical as A, B, C, D, E, F, G and H. Now write the names of its faces and edges.

Answer 1

Hint: Cube is a symmetrical 3-d shape, either solid or hollow and it is formed by basic units of 6 squares of equal sides. Use this concept to form a diagrammatic representation of a cube.

Complete step-by-step answer:

The required cube ABCDEFGH is shown above.
As we know the cube has six faces and 12 edges.
So the names of all the faces of the cube are given below.
$\left( i \right)$ ABCD, $\left( {ii} \right)$ EFGH, $\left( {iii} \right)$ ADEH, $\left( {iv} \right)$ BCFG, $\left( v \right)$ ABGH, $\left( {vi} \right)$ CDEF.
And the name of all the edges are also give below,
$\left( i \right)$ AB, $\left( {ii} \right)$ AD, $\left( {iii} \right)$ DC, $\left( {iv} \right)$CB, $\left( v \right)$ CF, $\left( {vi} \right)$ BG, $\left( {vii} \right)$ DE, $\left( {viii} \right)$ AH, $\left( {ix} \right)$ EH, $\left( x \right)$ EF, $\left( {xi} \right)$ FG and$\left( {xii} \right)$ GH.
So these are the required names of all the faces and all the edges of the cube ABCDEFGH.
So this is the required answer.

Note: Whenever we face such types of questions it’s to have the basic understanding of the definition of vertex and edge. A vertex is a single point onto the figure whereas an edge is a line segment thus two or more vertices join the edge together to form a shape. This always helps in formulation of diagrams which are being asked.