Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.

ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.

In the following figure, AB || DC and AD = BC. Find the value of x.

Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.

Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.

Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.

[Hint: Difference of two parallel sides gives an equilateral triangle.]

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

Which of the following cannot be true for a polyhedron?

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.

Euler’s formula is true for all three-dimensional shapes.

A polyhedron can have 10 faces, 20 edges and 15 vertices.

Complete the table given below:

S.No	Solid	Shape of Solid	Number of faces F	Number of Verticles V	Number of edges E	F + V	E + 2
a.	Cuboid
b.	Triangular Pyramid
c.	Square Pyramid
d.	Rectangular Pyramid
e.	Pentagonal Pyramid
f.	Hexagonal Pyramid
g.	Triangular Prism
h.	Square Prism
i.	Cube
j.	Pentagonal Prism
k.	Octagonal Prism
l.	Heptagonal Prism

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.

Look at the shapes given below and state which of these are polyhedra using Euler’s formula.