Chapter 12, Problem 2MCQ

To determine

To calculate:To identify the below figure and name the bases, faces, edges and vertices.

Answer to Problem 2MCQ

The figure is a cube.

The bases are $BCGF$ and $ADHE$ .

The faces are $ABCD,CDHG, EHGF,ADHE,ABFE$ and $BCGF$ .

The Edges are $AB,BC,CG,GH,HD,CD,EH,AD,AE,BF,EF$ and $DG$ .

The Vertices are $A,B,C,D,E,F,G$ and $H$ .

Explanation of Solution

Given information:

Given figure is

Formula Used:

Definition of a Cube: A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.

Calculation:

Given figure is:

From the above definition of a cube, we have:

The figure is a cube.

The bases are $BCGF$ and $ADHE$ .

The faces are $ABCD,CDHG, EHGF,ADHE,ABFE$ and $BCGF$ .

The Edges are $AB,BC,CG,GH,HD,CD,EH,AD,AE,BF,EF$ and $DG$ .

The Vertices are $A,B,C,D,E,F,G$ and $H$ .

Conclusion:

The bases are $BCGF$ and $ADHE$ .

The faces are $ABCD,CDHG, EHGF,ADHE,ABFE$ and $BCGF$ .

The Edges are $AB,BC,CG,GH,HD,CD,EH,AD,AE,BF,EF$ and $DG$ .

The Vertices are $A,B,C,D,E,F,G$ and $H$ .