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Volume and Surface Area

  1. CUBOID Let length =l, breadth =band height =hunits. Then
    1. Volume= (lxbxh) cubic units.
    2. Surface area= 2(lb+bh+lh) sq. units.
    3. Diagonal=l2+b2+h2units.
  2. CUBE Let each edge of a cube be of lengtha. Then,
    1. Volume=a3cubic units.
    2. Surface area= 6a2sq. units.
    3. Diagonal=3aunits.
  3. CYLINDER Let radius of base =rand Height (or length) =h. Then,
    1. Volume= (r2h) cubic units.
    2. Curved surface area =(2rh) sq. units.
    3. Total surface area= 2r(h+r) sq. units.
  4. CONE Let radius of base =rand Height =h. Then,
    1. Slant height,l=h2+r2units.
    2. Volume=r2hcubic units.
    3. Curved surface area= (rl) sq. units.
    4. Total surface area= (rl+r2) sq. units.
  5. SPHERE Let the radius of the sphere ber. Then,
    1. Volume=r3cubic units.
    2. Surface area= (4r2) sq. units.
  6. HEMISPHERE Let the radius of a hemisphere ber. Then,
    1. Volume=r3cubic units.
    2. Curved surface area= (2r2) sq. units.
    3. Total surface area= (3r2) sq. units. Note: 1 litre = 1000 cm3.



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