1.  The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5$\sqrt{5}$ cm. It surface area is :

125 cm2
236 cm2
361 cm2
486 cm2

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Answer: Option  B Explanation:(l + b + h) = 19 and $\sqrt{\mathrm{l2+ b2+ h2}}$ = 5$\sqrt{5}$ and so (l2 + b2 + h2) = 125.
Now, (l + b + h)2 = 192 = (l2 + b2 + h2) + 2 (lb + bh + lh) = 361.
= 2(lb + bh + lh) = (361 - 125) = 236.
Surface area = 236 cm2. ```

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2.  A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, the volume of the hall is :

720
900
1200
1800

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Answer: Option  C Explanation:2(15 + 12) * h = 2(15 * 12) or h = 180⁄27 m = 20⁄3 m.
Volume         = (15 * 12 * 20⁄3) m3 = 1200 m3. ```

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3.  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

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Answer: Option  B Explanation:Area   = (1.5 * 10000) m2 = 15000 m2.
Depth  = 5⁄100m = 1⁄20m.
Volume = (Area * Depth) = (15000 * 1⁄20)m3 = 750 m3. ```

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4.  A cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

49 m2
50 m2
53.5 m2
55 m2

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Answer: Option  A Explanation:Area of the wet surface = [ 2(lb + bh + lh) - lb] = 2 (bh + lh) + lb
= [2 (4 * 1.25 + 6 * 1.25) + 6 * 4] m2 = 49 m2. ```

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5.  The capacity of a tank of dimensions (8 m * 6 m * 2.5 m) is

120 litres
1200 litres`
12000 litres
120000 litres

```Answer

Answer: Option  D Explanation:Capacity of the bank = Volume of the tank
= (8*100*6*100*2.5*100 ⁄ 1000) litres = 120000 litres. ```

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