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Test Paper 13, , , , , , , , , , , , , , , , Total Time: | hour, , QL. to Q6. carry 3 marks each, 1. Find the surface area of a cube whose volume is 512m‘., , 2. Acube of 9 cm edge is immersed completely in a rectangular yessel containing water, If the din, cm, find the rise in water level in the vessel,, 3. How many soap cakes each measuring 7.cm x 5 cm* 2.5 emeanbe placed ina box of size 56 cm x 40, 4. Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 em?., 5. A road roller takes 750 complete revolutions to more once over to level a road. Find the area of the road, roller is91 cm and length is 1.25 m., 6., , ware, How many cubes of side 5 cm can be obtained on cutting a cube ofédge 20 cm?, Choose the correct answer in each of the following :, 7. How many cubes of 10 cm edge can be put in a cubical box of | m edge ?, , (a) 10 (b) 100, ~ (c) 1000 (d), 8. The dimensions ofa room are (10 mx 8m* 3.3 m). How many men can be accommodated in this room i, space ?, (a) 9 (b) & © 7 @ 7%, 9. Five equal cubes, each of edge 5 cm, are placed adjacent to each other, The volume of the cuboid so formed, (a) 125cm’ (>) 375cm (©) 525em!, 10. The diagonal ofa cube measures 4/3 cm. Its volume is, (a) 8cm (b) 16cm’ (©) 27cm, 11. The length, breadth and height ofa cuboid are in the ratio 3 : 4 ; 6 and its volume is 576 em’, The whole surfal, (a) 216cm? (b) 324em (©) 432cm, , [Hint : Whole surface are = {2(/b + bh + [h)} sq units,], 12. Ifthe capacity of a cylindrical tank is 1848 m’ and the diameter of its base is 14 m, the depth of the tank is, (a) 8m (b) 12m (c) 16m (d) 18m, 13. Fillinthe blanks:, (@) If rbe the radius of the base and h the height of a cylinder, then its total surface area is () sq. units,, (b) Ifeach side of a cube is a, then its lateral surface area is... sq units,, (©) Ifris the radius of the base and /i be the height ofa cylinder, then its volume is (., (d) If /, b, h be the length, breadth and height of a cuboid, then its whole surface area =, (ce) If/,b, hbe the length, breadth and height ofa cuboid, then its lateral surface area =