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.
FigureCovered AreaNumberArea estimate (sq units)
Figure (a)(i) Fully-filled squares99
(ii) Half-filled squares00
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (a) = 9 sq units
Figure (b)(i) Fully-filled squares55
(ii) Half-filled squares00
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (b) = 5 sq units
Figure (c)(i) Fully-filled squares22
(ii) Half-filled squares24 × 1/2 = 2
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (c) = 4 sq units
Figure (d)(i) Fully-filled squares88
(ii) Half-filled squares00
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (d) =8 sq units
Figure (e)(i) Fully-filled squares1010
(ii) Half-filled squares00
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (e) =10 sq units
Figure (f)(i) Fully-filled squares22
(ii) Half-filled squares42 × 1/2 = 2
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (f) =4 sq units
Figure (g)(i) Fully-filled squares44
(ii) Half-filled squares44 × 1/2 = 2
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (g) =6 sq units
Figure (h)(i) Fully-filled squares55
(ii) Half-filled squares00
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (h) =5 sq units
Figure (i)(i) Fully-filled squares92
(ii) Half-filled squares00
(iii) More than half-filled squares07
(iv) Less than half-filled squares30
Total area of figure (i) =9 sq units
Figure (j)(i) Fully-filled squares22
(ii) Half-filled squares44 × 1/2 = 2
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (j) =4 sq units
Figure (k)(i) Fully-filled squares44
(ii) Half-filled squares22 × 1/2 = 1
(iii) More than half-filled squares00
(iv) Less than half-filled squares00
Total area of figure (k) =5 sq units
Figure (l)(i) Fully-filled squares22
(ii) Half-filled squares00
(iii) More than half-filled squares66
(iv) Less than half-filled squares33
Total area of figure (l) =8 sq units
Figure (m)(i) Fully-filled squares77
(ii) Half-filled squares00
(iii) More than half-filled squares77
(iv) Less than half-filled squares00
Total area of figure (m) =14 sq units
Figure (n)(i) Fully-filled squares1111
(ii) Half-filled squares00
(iii) More than half-filled squares77
(iv) Less than half-filled squares00
Total area of figure (n) =18 sq units


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


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