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Mensuration Worksheet

Objective Type Questions

  1. State true or false.
    (a)The lateral surface area of a cylinder includes the top and bottom faces of the cylinder.

    (b)1 ml3 = 1 cm3

    Multiple Choice Questions

  2. Which of the following statement is INCORRECT?
    (a)Perimeter of a square is measured in units.
    (b)Volume of a solid is measured in cubic units.
    (c)Area of a rectangle is measured in square units.
    (d)Surface area of a solid is measured in cubic units.

  3. The volume of the following cuboid whose length is twice the height and breadth is half the height is 
    (a) 3y3 cubic units
    (b) 2y3 cubic units
    (c) y3 cubic units
    (d) y2 cubic units


  4. Area of a polygon can be found by using which of the following the parameter?
    (a)angle
    (b)size
    (c)length
    (d)curve

  5. If a rectangular piece of paper with dimensions 66 cm × 21 cm is rolled along its length to form a cylinder, then the radius of the cylinder thus formed is  (Use p = 22/7)
    (a)9 cm
    (b)9.5 cm
    (c)10 cm|
    (d)10.5 cm

  6. 1 m3 = 1000 litre, then 505.7 m3 = ______________ kl
    (a)505.7
    (b)5057
    (c)50570
    (d)50570

  7. The change in the volume of a cube when its side becomes 5 times the original side is
    (a)25 times the original volume
    (b) begin mathsize 11px style 1 over 25 end style times the original volume
    (c)125 times the original volume
    (d) begin mathsize 11px style 1 over 125 end style times the original volume

  8. The volume of cylinder is equal to
    (a)Area of the base × height
    (b)Area of the base + height
    (c)2(Area of the base) × height
    (d)2(Area of the base) + height

  9. The area of four walls of following cuboid is
    (a)[2(a + b + h)] square units
    (b)(a × b × h) square units
    (c)(2 × a × b × h) square units
    (d)[2(a + b) × h] square units


    Subjective Questions

  10. Find the area of pentagon ABCDE.


  11. If you need to find the area of following polygon, show that in how many different ways you can divided it into different geometric shapes.
     

  12. Find the volume of cylinder formed by rolling the following rectangular paper along its breadth. (Use p = 22/7)


  13. Find the area of the shaded region ABR.


  14. Divide the following shape into three triangles.



  15. The floor of a hall consists of 300 rectangular-shaped tiles of dimensions 18 cm × 10 cm. Find the cost of polishing the floor at the rate of Rs. 6 per metre square. 

  16. The diameter of a 140 cm long garden roller is 68 cm. How much area can it level in 100 revolutions? (Use p = 22/7)


  17. It is Meena’s birthday and she ordered 2-layer birthday cake as follows:
    Dimensions of the bottom layer cake are 15 cm × 15 cm × 10 cm and that of a top layer cake are 12 cm × 12 cm × 6 cm. Find the volume of the whole cake.


  18. The weight of a cuboidal metal box of dimensions 4.5 m × 4 m × 3 m is 12 kg. Find the weight of the box of dimensions 6 m × 2.5 m × 3 m of same metal.

  19. The radius of following pillar is 14 cm and height is 6 m. It is painted with golden colour and cost of painting is Rs. 16 per m2. What can be the cost of painting 30 such pillars. (Use p = 22/7)


  20. Four small equal rectangles are cut off from each corner of a big rectangle. Find the area of portion left after removing them.

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