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