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1) If the faces of three adjacent faces of a cuboid are 49,64 & 81,then the volume of cuboid is A) 454 cubic meter B) 474 cubic meter C) 504 cubic meter D) Data Inadequate
Answer & Explanation
Answer: 504 cubic meter (Let the length be l, breadth be b & height be h.
49*64 = l ;64 * 81 = b; 49*81 = h.
On multiuplying we get (lbh)2 = 49 * 64 *81.
volume = 49*64*81 = 7*8*9 = 504 cubic meter)
2) The breadth of a room is as twice as its height & half its length.Volume of the room is 512 cubic meter. Length of the room isA) 20 meter B) 16 meter C) 18 meter D) 24 meter
Answer & Explanation
Answer: 16 meter (Suppose height = x meters. B = 2x & length = 4x meters.
Volume = x*2x*4x = 512 = x3 = 64 ; x= 4 meters ; length = 16 m)
3) The ratio of volume of cube to the volume of sphere that will fit inside the cube isA) 6:pi B) pi:8 C) 8:pi D) pi:6
Answer & Explanation
Answer: 6:pi (Let the edge of cube be a.Radius of sphere = a/2.
Volume of cube =a3volume of sphere = 4/3 (pi) (a/2)3 = pi a3/6
Required ratio is 6 : pi = 6:22/7)
4) Surface area of a cube is 600 sq.cm.Diagonal of the cube isA) 83 B) 93 C) 103 D) 123
5) If the volume of sphere is divided by its surface area, the result is 27 cm.Radius of sphere isA) 90 cm B) 81 cm C) 27 cm D) 9 cm
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