Surface Areas and Volumes - ESSENTIAL POINTS


  • Cuboid whose length = l, breadth = b and height = h

(a) Volume of cuboid = lbh

(b) Total surface area of cuboid = 2 ( lb + bh + hl )

(c) Lateral surface area of cuboid = 2 h (l + b)

(d) Diagonal of cuboid =  l2b2h2  

  • Cube whose edge = a

(a) Volume of cube = a3

(b) Lateral Surface area = 4a2

(c) Total surface area of cube = 6a2

(d) Diagonal of cube = a 3

  • Cylinder whose radius = r, height = h

(a) Volume of cylinder = πr2h

(b) Curved surface area of cylinder = 2πrh

(c) Total surface area of cylinder = 2πr (r + h)

  • Cone having height = h, radius = r and slant height = l

(a) Volume of cone = 1/3 πr2h

(b) Curved surface area of cone = πrl

(c) Total surface area of cone =  πr (l + r)

(d) Slant height of cone (l) = underooth2 r2

  • Sphere whose radius = r

(a) Volume of sphere = 4/3 πr3

(b) Surface area of sphere = 4πr2

  • Hemisphere whose radius = r

(a) Volume of  hemisphere = 2/3 πr3

(b) Curved surface area of hemisphere = 2πr2

(c) Total surface area of hemisphere = 3πr2

 


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