## Tuesday, 11 November 2014

### Chapter 10. Mensuration | CBSE Class 6th (VI) Mathematics | Exercise 10.2 - Solutions

Things to remember...
• The amount of surface enclosed by a closed figure is called its area.
• Surface Area of a figure  can be broken into exact numbers or approximate numbers of square units
• Depending upon the figure, some of square units may be completely covered, or partially covered.
• While using a squared paper, to calculate the area of a figure , we may use the  conventions :

• The area of one full square is taken as 1 sq unit. .
•  The portions of area that are less than half a square are Ignored .
• The portions of area that are more than half a square are counted as one square.
• The portions of area that are  are exactly half the square are counted,  as 1/2 sq unit.
This convention gives a fair estimate for  the measurement  of   area under consideration

EXERCISE 10.2 | Mensuration | CBSE Class 6th (VI) Mathematics | Chapter 10 - Solutions

Question 1. Find the areas of the following figures by counting square:

Solution.
 Figure Covered Area Number Area estimate (sq units) Figure (a) (i) Fully-filled squares 9 9 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (a) = 9 sq units Figure (b) (i) Fully-filled squares 5 5 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (b) = 5 sq units Figure (c) (i) Fully-filled squares 2 2 (ii) Half-filled squares 2 4 × 1/2 = 2 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (c) = 4 sq units Figure (d) (i) Fully-filled squares 8 8 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (d) = 8 sq units Figure (e) (i) Fully-filled squares 10 10 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (e) = 10 sq units Figure (f) (i) Fully-filled squares 2 2 (ii) Half-filled squares 4 2 × 1/2 = 2 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (f) = 4 sq units Figure (g) (i) Fully-filled squares 4 4 (ii) Half-filled squares 4 4 × 1/2 = 2 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (g) = 6 sq units Figure (h) (i) Fully-filled squares 5 5 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (h) = 5 sq units Figure (i) (i) Fully-filled squares 9 2 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 0 7 (iv) Less than half-filled squares 3 0 Total area of figure (i) = 9 sq units Figure (j) (i) Fully-filled squares 2 2 (ii) Half-filled squares 4 4 × 1/2 = 2 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (j) = 4 sq units Figure (k) (i) Fully-filled squares 4 4 (ii) Half-filled squares 2 2 × 1/2 = 1 (iii) More than half-filled squares 0 0 (iv) Less than half-filled squares 0 0 Total area of figure (k) = 5 sq units Figure (l) (i) Fully-filled squares 2 2 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 6 6 (iv) Less than half-filled squares 3 3 Total area of figure (l) = 8 sq units Figure (m) (i) Fully-filled squares 7 7 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 7 7 (iv) Less than half-filled squares 0 0 Total area of figure (m) = 14 sq units Figure (n) (i) Fully-filled squares 11 11 (ii) Half-filled squares 0 0 (iii) More than half-filled squares 7 7 (iv) Less than half-filled squares 0 0 Total area of figure (n) = 18 sq units

CBSE Class 6th (VI) Mathematics | Chapter 10. Mensuration : EXERCISE 10.2 - Solutions