Q: Write number of edges, faces and vertices of cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular and prism.

\$\rightarrow \$CubeNo. of edges\$=12\$No. of faces\$=6\$No. of vertices\$=8\$\$\rightarrow \$CuboidNo. of edges\$=12\$No. of faces\$=6\$No. of vertices\$=8\$\$\rightarrow \$ConeNo. of edges\$=0\$No. of faces\$=1\$No. of vertices\$=0\$\$\rightarrow \$CylinderNo. of edges\$=0\$No. of faces\$=2\$No. of vertices\$=0\$\$\rightarrow \$SphereNo. of edges\$=0\$No. of faces\$=0\$No. of vertices\$=0\$\$\rightarrow \$Triangular pyramidNo. of edges\$=6\$No. of faces\$=4\$No. of vertices\$=4\$\$\rightarrow \$Rectangular prismNo. of edges\$=9\$No. of faces\$=5\$No. of vertices\$=6\$

Q: In a solid if \$ F=V = 5\$, then the number of edges in this shape is

The correct answer is option \$(c).\$ For any polyhedron, Euler' s formula ;\$F + V - E = 2\$Where, \$F\$ = Face and \$V\$ = Vertices and \$E\$ = Edges Given, \$ F = V = 5\$On putting the values of \$F\$ and \$V\$ in the about formulae,\$ 5 + 5 - E = 2\$\$\Rightarrow 10 - E = 2\$\$\Rightarrow E = 8\$

Q: Which of the following cannot to be true for a polyhedron ?

The correct answer is option \$(d)\$.Euler's Formula for any polyhedron\$ = F + V -E = 2\$Where, F = Faces and V = Vertices and \$E =\$ EdgesOption \$A:\$\$F+V-E=4+4-6=2\$Option \$B:\$\$F+V-E=6+8-12=2\$Option \$C:\$\$F+V-E=10+12-20=2\$Option \$D:\$\$F+V-E=4+6-6=4\neq2\$

Q: How many faces does a cuboid have?

A cuboid is a \$3-D\$ solid object bounded by \$6\$ rectangular faces, with three faces meeting at each vertex.Hence, a cuboid has \$6\$ faces.

Question 1

Write number of edges, faces and vertices of cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular and prism.

Accepted Answer

$\rightarrow $CubeNo. of edges$=12$No. of faces$=6$No. of vertices$=8$$\rightarrow $CuboidNo. of edges$=12$No. of faces$=6$No. of vertices$=8$$\rightarrow $ConeNo. of edges$=0$No. of faces$=1$No. of vertices$=0$$\rightarrow $CylinderNo. of edges$=0$No. of faces$=2$No. of vertices$=0$$\rightarrow $SphereNo. of edges$=0$No. of faces$=0$No. of vertices$=0$$\rightarrow $Triangular pyramidNo. of edges$=6$No. of faces$=4$No. of vertices$=4$$\rightarrow $Rectangular prismNo. of edges$=9$No. of faces$=5$No. of vertices$=6$

Question 2

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

Accepted Answer

As per question:Euler's Formula is for any polyhedrons. i.e.F + V - E = 2Given, F = 20 and V = 12 and E = aAccording to the formula:20 + 12 - a= 232 - a = 2a = 32 - 2a = 30

Question 3

In a solid if $ F=V = 5$, then the number of edges in this shape is

Accepted Answer

The correct answer is option $(c).$ For any polyhedron, Euler' s formula ;$F + V - E = 2$Where, $F$ = Face and $V$ = Vertices and $E$ = Edges Given, $ F = V = 5$On putting the values of $F$ and $V$ in the about formulae,$ 5 + 5 - E = 2$$\Rightarrow 10 - E = 2$$\Rightarrow E = 8$

Question 4

How many edges, faces and vertices are there in a sphere?

Accepted Answer

A sphere has zero edges, zero faces and zero vertices.

Question 5

Which of the following cannot to be true for a polyhedron ?

Accepted Answer

The correct answer is option $(d)$.Euler's Formula for any polyhedron$ = F + V -E = 2$Where, F = Faces and V = Vertices and $E =$ EdgesOption $A:$$F+V-E=4+4-6=2$Option $B:$$F+V-E=6+8-12=2$Option $C:$$F+V-E=10+12-20=2$Option $D:$$F+V-E=4+6-6=4\neq2$

Question 6

The flat surface of a solid figure is called a

Accepted Answer

The flat surface of a solid figure is called a face

Question 7

Choose the false statement from the following ?

Accepted Answer

The number of vertices in a cube are 8.

Question 8

How many edges are there in a cuboid?

Accepted Answer

By elders formula the numbers of faces F, of vertices V, and of edges E of any convex polyhedron are related by the formula F + V = E + 2. In the case of a cuboid this gives 6 + 8  = 12 + 2; that is, like a cube, a cuboid has 6 faces, 8 vertices, and 12 edges.

Question 9

A cube has 6 faces, 12 edges and 8 vertices.

Accepted Answer

A cube is a 3D object, like shown in the above diagram.It has $6$ square-shaped faces, $12$ edges and $8$ corners or vertices.Hence, the given statement is true.

Question 10

How many faces does a cuboid have?

Accepted Answer

A cuboid is a $3-D$ solid object bounded by $6$ rectangular faces, with three faces meeting at each vertex.Hence, a cuboid has $6$ faces.

More about 3D shapes

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REVISE WITH CONCEPTS

Introduction to Polyhedra

QUICK SUMMARY WITH STORIES

Describing Three-Dimensional Shapes

Polyhedrons

Convex and Regular Polyhedrons

Write number of edges, faces and vertices of cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular and prism.

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

In a solid if $F = V = 5$ , then the number of edges in this shape is

How many edges, faces and vertices are there in a sphere?

Which of the following cannot to be true for a polyhedron ?

The flat surface of a solid figure is called a

Choose the false statement from the following ?

How many edges are there in a cuboid?

A cube has 6 faces, 12 edges and 8 vertices.

How many faces does a cuboid have?

More about 3D shapes

Language

Rate

REVISE WITH CONCEPTS

Introduction to Polyhedra

QUICK SUMMARY WITH STORIES

Describing Three-Dimensional Shapes

Polyhedrons

Convex and Regular Polyhedrons

Write number of edges, faces and vertices of cube, cuboid, cone, cylinder, sphere, triangular pyramid, rectangular and prism.

A polyhedron has 20 faces and 12 vertices. Find the edges of the polyhedron.

In a solid if F=V=5, then the number of edges in this shape is

How many edges, faces and vertices are there in a sphere?

Which of the following cannot to be true for a polyhedron ?

The flat surface of a solid figure is called a

Choose the false statement from the following ?

How many edges are there in a cuboid?

A cube has 6 faces, 12 edges and 8 vertices.

How many faces does a cuboid have?

In a solid if $F = V = 5$ , then the number of edges in this shape is