715) 01 Mensuration 3D Class 1 (MATHS - Mensuration 3D).pdf

715) 01 Mensuration 3D Class 1 (MATHS - Mensuration 3D).pdf

1. Complete Understanding
& Formulas of 3D figures
1

2. 2
Prisms (परिज्म):

3. 3
Pyramids(पपिापिड्स):

4. 4
Sphere (गोला):

5. 5
Other shapes (बापि आिृ पियााँ):

6. 6
Oblique shapes (गैि-सििोण आिृ पि):

7. 7
Generalised formulas for Prisms:

8. 8
Generalised formulas for Pyramids:

9. 9
Cuboid (घनाभ):
Volume
(आयिन)
Lateral Surface area
(पार्श्व पृष्ठीय क्षेत्रफल)
Total Surface area
(िु ल पृष्ठीय क्षेत्रफल)
Diagonal
(पििणव)

10. 10
Cube (घन):
Volume
(आयिन)
Lateral Surface area
(पार्श्व पृष्ठीय क्षेत्रफल)
Total Surface area
(िु ल पृष्ठीय क्षेत्रफल)
Diagonal
(पििणव)

11. 11
Cylinder (बेलन):
Volume
(आयिन)
Curved Surface area
(िक्र पृष्ठीय क्षेत्रफल)
Total Surface area
(िु ल पृष्ठीय क्षेत्रफल)

12. 12
Cone (शंिु):
Volume
(आयिन)
Curved Surface area
(िक्र पृष्ठीय क्षेत्रफल)
Total Surface area
(िु ल पृष्ठीय क्षेत्रफल)

13. 13
Tetrahedron (चिुष्फलि):

14. 14
Square pyramid (िगव पपिापिड):

15. 15
Octahedron (अष्टफलि):

16. 16
Sphere & hemi-sphere (गोला औि अर्व-गोला):

17. 17
Frustum(पिन्नि)concept:

18. 18
Find the ratio of volumes of different parts:
2
3
1
2
3
Cut at a height of
�
�
??????�
from the bottom
Cut at a height of ��%
from the base

19. 19
Frustum(पिन्नि)formula:

20. 20
Sphere cutting & Hat-Box Theorem:

21. 21

22. 22
Torus (टोिस):
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�
�??????
????????????�??????��=�??????
�
�??????
�

23. 23