CBSE NCERT Solutions for Class 8 Chapter 10

NCERT Solutions clear concepts ensuring to stay with students in exams. Students will find it extremely easy to understand Math problems and how to go about solving them. Students are advised to practice the NCERT questions and solutions for class 8 on a regular basis to score well in their class 8 exam.

CBSE NCERT Solutions for Class 8 Maths Chapter 10:

Question-1:

Can a polygon have for its faces:
(i) 3 Triangles
(ii) 4 triangles
(iii) A square and four triangles

Solution:

i) No, such a polyhedron is not possible. A polyhedron has minimum 4 faces.
ii) Yes, a triangular pyramid has 4 triangular faces.
iii) Yes, a square pyramid has a square face and 4 triangular face

Question-2:

Is a square prism same as a cube? Explain.

Solution:

A square prism has a square as its base. However, its height is not necessarily same as the side of the square. Thus, a square prism can also be a cuboid.

Question-3:

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

Solution:

F = 10
E = 20
V = 15
Any polyhedron satisfies Euler’s formula, according to which, F + V – E = 2
For the given polygon, F + V – E = 10 + 15 – 20 = 25 – 20 = 5, which is not equal to 2
Since Euler’s formula is not satisfied, such a polyhedron is not possible.