Page 1 : INTEGRATED EXERCISE, , ‘Very Short Answer/ Objective Type Questions [1 Mark, "+ The length of the longest pole that can be put in a, , oom of dimensions (10m x 10 m x 10m) 8, Me) iS (6) 16m, ©) 10¥3m ) 23m, , 2. In cylinder, radius is doubled and height is halved,, curved surface area wll be, (a) halved () doubled, (©) same (4) four times, , 3. The radius of a hemispherical halloon increases, from 6 em to 12.cm as air is being pumped into it, “The ratios ofthe surface areas ofthe balloon in the, , two cases is, (@ ta 153, 2:3 24, , INCERE Exemplar], , 4. A rectangular pit of dimensions 20 m x 15 m x 10, ‘mis dug and the earth taken out has to be disposed, ‘off in truck which can carry load of 300 m' of earth, “The number of rounds truck has tomake to dispose, , offthe earth are, @ Wo 12, © 15 (@) 20, , S. The number of planks of dimensions 4 m x 50 m, X Wem which can be stored in a pit 40 m Tong, 12, , sm wide and 160 m deep is, (a) 1900 () 1920, fe) 1800 (a) 1840, , 6. A heap of wheat grains is put in a cylindrical, box of radius 7 m and height 3.5 m, but this, box was not sufficient, so the remaining grain, was put in a cuboidal box of dimensions, Sm x 3m x 2m. Still 13 m’ grain was left. How, ‘much grain was there in the heap ?, , (@) 539m (b) 569m", (©) 530m! (a) 582m!, , 7. A cone is 8.4 cm high and the radius ofits base is, 2.1 om, It is melted and recast into a sphere. The, diameter of sphere is, (@) 420m (b) 216m, (0) 24m @ toem, , 8. A gift kept in cubical box with edge 10 em is to be, , packed with a hand made paper. Find the amount, , Of paper used to pack the gift, [CBSE 201, , The volume of a cylinder is 44% cm’ and height, , 7.em., Find its total surface area,, , , , 9, , 10, A granary is in the shape of a cur,, 8m x 6m x 3m. Abag of grain oc,, of 0.65 m’. How many, granary?, , 11. The diagonal of a cube is 2 cm. Find iy, , , , 12, The perimeter of one face of cube is 0 cm, =, volume, , Short Answer Type | Questions [2 Morks), , 13, Ifthe length of the diagonal of, then the length of the edge ofthe cl, Justify INCERT tenga, , M4. Thelength ofahallis 20m and width 16m. 1s,, ofthe areas ofthe floor and :, thesum ofthe areas of the four walls F a, and the volume ofthe hal, , 15. Navinchal received a whit, 05 m. He did not like the raw cube, Dut the blue stars on the surfaces,, Area ofeach star fs 40 cm?. Calcul., the remaining he pat, , , , , , , , , surface,, 16. Acone anda hemisphere have equal bas, volumes. Find the ratio of the, , , , 17. Volume of a cube is 64,000 m, painting its total surface at the, , , , Short Answer Type Il Questions [3 Marks), 18. A gift pack isin the shape of cuboid of d, 1S m, 0.75 m, 05 m, Sanya did not lik, ‘wrapped on the gift pack, so she removes!, wrapped the gift pack with a paper of he, left the base 7.5 m x 0.75 m, which she s, with her name. Calculate the dite, ‘wrapping papers used, iH, ‘The surface areas of a sphere and a cube are, Prove that their volumes are in the ratio |, ‘The length of acold storage is double its brea, height is'3 metres. The area of four wal, ‘4 door of dimension 4 m x 2.m is 100 m, volume., {EV is the volume of cuboid of dimension:, , and Sis the surface area, the prove that, 1_3zt, , , , , , , , , , 1,, , , , 21