16.  If a metallic cuboid weighs 16 kg, how much would a miniature cuboid of metal weigh, if all dimensions are reduced to one-fourth of the original ?


0.25 kg
0.50 kg
0.75 kg
1 kg


Answer

 Option

Let the dimensions of the bigger cuboid be x, y and z. Then, Volume of the bigger cuboid = xyz. Volume of the miniature cuboid = (14x) (14y) (14z) = 164xyz. Weight of the miniature cuboid = (164 * 16) kg = 0.25 kg.

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17.  If the areas of the three adjacent faces of a cuboidal box are 120 cm2, 72 cm2 and 60 cm2 respectively, then find the volume of the box.


720 cm3
864 cm3
7200 cm3
(72)2 cm3


Answer

 Option

Let the length, breadth and height of the box be l, b and h respectively. Then Volume = lbh = (lbh)2 = lb * bh * lh = 120 * 72 * 60 = 720 cm3

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18.  If the areas of three adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cu. cm; then the length of the shortest side is :


10 cm
15 cm
20 cm
30 cm


Answer

 Option

Let lb = 2x, bh = 3x and lh = 4x. Then, 24x3 = (lbh)2 = 9000. = x3 = 375 * 9000 . = x = 150. h = 9000300 = 30, l = 9000450 = 20 and b = 9000600 = 15. Hence, shortest side = 15 cm.

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19.  In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is :


75 cu. m
750 cu. m
7500 cu. m
75000 cu. m


Answer

 Option

Area = (1.5 * 10000) m2 = 15000 m2. Depth = 5100m = 120m. Volume = (Area * Depth) = (15000 * 120)m3 = 750 m3.

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20.  The area of the base of a rectangle tank is 6500 cm2 and the volume of water contained in it is 2.6 cubic metres. The depth of water in the tank is :


3.5 m
4 m
5 m
6 m


Answer

 Option

Volume = (2.6 * 100 * 100 * 100) cu. m Depth = Volume ⁄ Area of the base = (2.6 * 100 * 100 * 100 ⁄ 6500) cm = 400 cm= 4 m.

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