CLASS- VIII - FOUNDATION
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SUB: MATHS CAT – 2 WORKSHEET-
1
TOPIC: MENSURATION
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1. The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3.
The ratio of their volumes is
a) 27:20 b) 20:27 c) 4:9 d) 9:4
2. Three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted
and formed into a single cube. The edge of the new cube formed is
a) 12cm b) 14cm c) 16cm d) 18cm
3. The radii of two concentric circles are 68cm and 22cm. The area of the closed figure
bounded by the boundaries of the circles is
a) b) c) d) None
4. From the four corners of a rectangular sheet dimensions 25 x 20 cm, square of side
2cm is cut off from four corners and a box is made. The volume of box is
a) b) c) d)
5. There is a wooden sphere of radius The surface area of the largest possible
cube cut out from the sphere will be
a) b) c) d) None
6. A right prism has a triangular base whose sides are 13cm, 20cm and 21cm. If the
altitude of the prism is 9cm. Then its volume is
a) b) c) d)
7. The height of a Cone is 30cm. A small cone is Cutoff at the top by a plane parallel to
the base. If its volume be of the volume of the given Cone, at what height above
the base is the section made.
a) 19 cm b) 20 cm c) 12 cm d) 15 cm
8. If the surface area of a sphere is then its radius
a) 7 cm b) 3.25 cm c) 5.25 cm d) 9 cm
9. A rectangular block of metal has dimensions 21cm, 77cm and 24cm. The block has
been melted into a sphere. The radius of the sphere is
a) 21 cm b) 7 cm c) 14 cm d) 28 cm
10. If each edge of a Cube is increased by 50%. The percentage in surface area is
a) 125% b) 50% c) 100% d) 75%
11. If h, c, u are respectively the height, CSA, and Volume of right circular Cone, then the
value of is
a) 2 b) -1 c) 1 d) 0
12. Base of a right pyramid is a square, Length of diagonal of base is If the
volume of pyramid is 1728 Cu.m Its height is
a) 7m b) 8m c) 9m d) 10m
13. The CSA of cylindrical pillar is and its volume is take Find the ratio
of its diameter to its height
a) 7:6 b) 6:7 c) 3:7 d) 7:3
14. A hollow sphere of internal and external diameter 4cm and 8cm is melted into a
Cone of base diameter 8cm. Calculate height of cone?
a) 6cm b) 12cm c) 18cm d) 24cm
15. A cylindrical tube of radius 12cm contains water to a depth of 20cm. A Spherical ball
is dropped into the tube and the level of water is raised by 6.75 cm. Find the radius
of the ball =?
a) 3 cm b) 6 cm c) 9 cm d) 12 cm
16. A cylindrical jar of radius 6cm contains Oil. Iron sphere each of radius 1.5cm are
immersed in the oil. How many spheres are necessary to raise level of the oil by two
centimeters?
a) 4 b) 8 c) 12 *d) 16
17. The internal and external diameters of a hollow hemisphere vessel are 21cm and
25.2cm. The cost of painting of the surface is 10paise. Find total cost to paint
the vessel all over?
a) 182.34 b) 183.34 c) 184.34 d) 185.34
18. A cylindrical tube of radius 12cm contains water 10 a depth of 20cm. A spherical ball
of radius 9cm is dropped into the tube and thus level of water is raised by h cm.
What is the value of h=?
a) 6cm b) 6.25cm c) 6.5cm d) 6.75cm
19. The difference between outer and inner curved surface area of a hollow right Circular
cylinder 14cm long is If the volume of metal used in making cylinder is
Find the inner radius of the cylinder
a) 1cm b) 1.5cm c) 2cm d) 2.5cm
20. An iron Spherical ball has been melted and recast into smaller balls of equal size if
the radius of each of the smaller balls is of the radius of the original ball. How
many such balls are made? Compare the surface area of all the smaller balls
combined together with that of the original ball
a) 2 times b) 3 times c) 4 times d) 5 times
21. A tent is in the form of a right circular cylinder surmounted by a cone. The diameter
of cylinder is 24m. The height of the cylindrical portion is 11m. While the vertex of
the cone is 16m above the ground. Find the area of Canvas required for the tent
a) 1024 b) 729 c) 1320 d) 1600
22. Three equal cubes are adjacently in a row, Find the ratio of total surface area of the
new cuboids to that of the sum of the surface areas of the three Cubes
a) 3:4 b) 4:3 c) 7:9 d) 9:7
23. Each edge of a cube is increased by 50%. Find the percentage increase in the
surface area of the cube
a) 100% b) 125% c) 150% c) 175%
24. The cost of preparing the walls of a room 12m long at the rate of Rs.1.35 per square
metre is Rs.340.20 and the cost of matting the floor at 85 paise per square metre
Rs.91.80. Find the height of the room.
a) 3m b) 6m c) 9m d) 12m
25. The paint in a certain container is sufficient to paint on area equal to how
many bricks of dimension can be painted out of this container?
a) 50 b) 100 c) 150 d) 200
