Question

All Formulas Of Surface Area And Volume Class 9

Answer 1

1. curved surface area of cuboid=2(l+b)×h
2. total surface area of cuboid=2(lb+bh+lh)
3. volume of cuboid=l×b×h
4. total surface area of cube=6l2
5. curved surface area of cube=4l2
6. volume of cube=l3
7. curved surface area of cylinder=2πrh
8. total surface area of cylinder=2πr(r+h)
9. volume of cylinder=πr2h
10. l2=r2+h2
11. area of base of cone=πr2h
12. curved surface area of cone=πrl
13. total surface area of cone=πr(l+r)
14. volume of cone=1/3×πr2h
15. surface area of sphere=4πr2
16. volume of sphere=4/3×πr3
17. surface area of hollow hemisphere=2πr2
18. total surface area of solid hemisphere=3πr2
19. volume of hemisphere=2/3πr3

Answer 2

All formulas of surface area and volume-

1. The below are applicable formulas for a cube.

Let the sides of the cube be "a".

a. Surface area of the cube = 6a²

b.  Volume of the cube = a³ cubic units

c. Diagonal = 3.a units

2. The formulas for cuboid are listed below-

Let, Length= L

      Breadth = B

      Height = H

a. Surface area of the cuboid = 2(lb+ bh + lh) units²

b. Volume of the cuboid = l x b x h units³

c. Diagonal of the cuboid = l² + b² + h² units

3. The formulas for cylinder are-

Let, radius = r units

      height= h units

a. Total surface area=  2r(h+r) units²

b. curved surface area = 2rh units²

c. Volume = r2h units³

4. The formulas for cone are -

Let, radius= r

        Height= h

a. Volume = r²h units³

b. Curved surface area = (r. l) units²

c. Total surface area = (r .l + r2) units²

Note, l = slant height

          l= h²+r² units

5. The formulas for the sphere are-

Let, radius= r

        Height= h

a. Volume = r³ units³

b. Surface area= 4r² units²

6. The formulas for the hemisphere are-

Let, radius= r

        Height= h

a. Volume = r3 units³

b. Curved surface area = (2r²) units²

c. Total surface area = (3r)² units²