Advertisements
Advertisements
Question
Verify Euler's formula for the following polyhedron:

Advertisements
Solution
In the given polyhedron:
Edges E=15
Faces F=7
Vertices V=10

Now, putting these values in Euler's formula:
LHS: F+V
= 7+10
= 17
LHS: E + 2
= 15 + 2
= 17
LHS = RHS
Hence, the Euler's formula is satisfied.
RELATED QUESTIONS
Is a square prism same as a cube? Explain.
Verify Euler's formula for the following polyhedron:

Name the polyhedron that can be made by folding net:

Draw net for the following polyhedron :

The figure, given below, shows shadows of some 3D object when seen under the lamp of an overhead projector:

A rectangle
In this case, name the object.
Dice are cubes with dots or dots on the face. Opposite faces of a die always have a total of seven on them.
In the given below net to make dice (cube), the numbers inserted in the square indicate the number of dots in it.

Insert suitable numbers in the blank so that numbers in opposite faces of the die have a total of seven dots.
The dimensions of a cuboid are 6 cm, 4 cm and 3 cm. Draw two different types of oblique sketches for this cuboid.
How many vertices does the following solid have?
Octagonal Pyramid
How many edges does the following solid have?
Octagonal Pyramid
The corner points where edges of a solid meet are called:
