The number of dimensions, a surface has
a. 1
b. 2
c. 3
d. 0

Solution:

We know that

A continuous set of points which has length and breadth but no thickness is called a surface.

So it has two dimensions

Therefore, a surface has 2 dimensions.

✦ Try This: It is known that x + y = 6 and that x = z. Show that z + y = 6. Solve using Euclid’s axiom

Given, x + y = 6 --------- (1)

Also, x = z ------------------ (2)

We have to show that z + y = 6

Using Euclid’s second axiom,

If equals are added to the equals, the wholes are equal.

From (2),

x + y = z + y

From (1).

z + y = 6

Therefore, z + y = 6

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.1 Problem 3

The number of dimensions, a surface has a. 1, b. 2, c. 3, d. 0

Summary:

Dimension in maths is a measure of the length, width, or height extended in a particular direction. The number of dimensions a surface has is 2

☛ Related Questions:

• The number of dimension, a point has a. 0, b. 1, c. 2, d. 3
• Euclid divided his famous treatise “The Elements” into a. 13 chapters, b. 12 chapters, c. 11 chapter . . . .
• The total number of propositions in the Elements are a. 465, b. 460, c. 13, d. 55