Mensuration

Mensuration

Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc.

Volume of Solids

volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

  • The basic formula for volume is length × width × height. some more formulas of solids are:-
  • Volume of cube is (side)^3.
  • Volume of cylinder is pi*(radius)^2*height etc.

  • Q. :- Find the volume of cuboid whose length is 9 unit ,bredth is 3 unit and hight is 1 unit.



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  • Q. :- Find the volume of cuboid whose length is 8 unit ,bredth is 3 unit and hight is 5 unit.



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  • Q. :- There is an object its top and bottom surface area is 1 unit and it has constant hight of 2 unit. Find the volume of this object. The top surface is directely above the bottom surface.



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  • Q. :- A cylender whose bottom circular surface having radius 70 unit and its hight 10 unit then find the volume of cylender.



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  • Q. :- A cone having radius 35 unit and hight 21 unit then find volume of cone.



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  • Q. :- There hemi sphere of radius 105 unit find its volume.



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  • Q. :- A sphere whose radius 5 unit. Find it's volume.



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Surface Area of Solids

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

  • Q. :- We have solid sphere with radius 6 unit then find the surface area of sphere.



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  • Q. :- A cube whose lenght a= 8 unit then find surface area of cube.



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  • Q. :- A cuboid whose length a= 4 unit and breadth b= 5 unit and hight c= 2 unit then find surface area of cuboid.



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  • Q. :- A cylender whose hight H is 5 unit and radius r is 20 unit then find the lateral surface area of cylender.



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  • Q. :- A cylender whose hight H is 4 unit and radius r is 8 unit then find the total surface area of cylender.



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  • Q. :- A cone having radius r= 10 unit and slant height l= 5 unit then find it's lateral surface area and total surface area of cone.



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  • Q. :- A cone having radius r= 18 unit and perpendicular height h= 24 unit then find it's lateral surface area and total surface area of cone.



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  • Q. :- A cone having slant height l= 100 unit and perpendicular height h= 28 unit. Then find lateral surface area and total surface area of cone.



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