NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2, are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2.
NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2
Question 1.
Find the areas of the following figures:
Solution :
(a)
Cover | Number estimate | Area | |
(i) | Full-filled squares | 9 | 9 squares |
(ii) | Half-filed squares | – | – |
(iii) | More than half-filed squares | – | – |
(iv) | Less than half-filed squares | – | – |
∴ Total area of the figure = 9 sq units
(b)
Cover | Number estimate | Area | |
(i) | Full-filled squares | 5 | 5 squares |
(ii) | Half-filed squares | – | – |
(iii) | More than half-filed squares | – | – |
(iv) | Less than half-filed squares | – | – |
∴ Total area of the figure = 9 sq units
(c) Full-filled squares = 2
Half-filled squares = 4
Area covered by full squares
= 2 × 1 sq unit = 2 sq units
Area covered by half squares = 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 2 sq units + 2 sq units = 4 sq units.
(d) Full-filled squares = 8
Total area = Area covered by full squares = 8 × 1 sq unit = 8 sq units.
(e) Full-filled squares =10
∴ Total area = Area covered by full squares = 10 × 1 sq unit = 10 sq units.
(f) Full-filled squares = 2 Half-filled squares = 4 Area covered by full squares
= 2 × 1 sq unit = 2 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
Total area = 2 sq units + 2 sq units = 4 sq units.
(g) Full-filled squares = 4 Half-filled squares = 4 Area covered by full squares
= 4 × 1 sq unit = 4 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 4 sq units + 2 sq units.
= 6 sq units
(h) Full-filled squares = 5
∴ Total area = Area covered by full squares = 5 × 1 sq unit = 5 sq units.
(i) Full-filled squares = 9
∴ Total area = Area covered by full squares = 9 × 1 sq unit = 9 sq units.
(j) Full-filled squares = 2 Half-filled squares = 4 Area covered by full squares
= 2 × 1 sq unit = 2 sq units Area covered by half squares
= 4 × \(\frac{ 1 }{ 2 }\) sq unit = 2 sq units
∴ Total area = 2 sq units + 2 sq units = 4 sq units.
(k) Full-filled squares = 4 Half-filled squares = 2 Area covered by full squares
= 4 × 1 sq unit = 4 sq units Area covered by half squares
= 2 × \(\frac{ 1 }{ 2 }\) sq unit = 1 sq unit
∴ Total area = 4 sq units + 1 sq unit = 5 sq units.
(l)
Cover | Number estimate | Area | |
(i) | Full-filled squares | 4 | 4 × 1 sq unit = 4 sq units |
(ii) | Half-filed squares | 2 | 2 × \(\frac{ 1 }{ 2 }\) sq unit = 1 sq unit |
(iii) | More than half-filed squares | 3 | 3 × 1 sq unit = 3 sq units |
(iv) | Less than half-filed squares | 4 | – |
(m)
Cover | Number estimate | Area | |
(i) | Full-filled squares | 9 | 9 × 1 sq unit = 9 sq units |
(ii) | Half-filed squares | 2 | 2 × \(\frac{ 1 }{ 2 }\) = 1 sq unit |
(iii) | More than half-filed squares | 6 | 6 × 1 sq unit = 6 sq units |
(iv) | Less than half-filed squares | 4 | – |
∴ Total Area = 9 sq units + 1 sq. unit + 6 sq units = 16 sq units
(n)
Cover | Number estimate | Area | |
(i) | Full-filled squares | 11 | 11 × 1 sq unit = 11 sq units |
(ii) | Half-filed squares | 6 | 6 × \(\frac{ 1 }{ 2 }\) = 3 sq unit |
(iii) | More than half-filed squares | 9 | 9 × 1 sq unit = 9 sq units |
(iv) | Less than half-filed squares | – | – |
∴ Total area = 11 sq units + 3 sq units + 9 sq units = 23 sq units.
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