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

a)75 m^{3}

b) 750 m^{3}

c) 7500 m^{3}

d) 75000 m^{3}

**Answer:**b) 750 m^{3}

**Explanation:**

1 hectare = 10,000 m^{2}

So, Area = (1.5 x 10000) m^{2} = 15000 m^{2}.

Depth =

5
100

m =
1
20

m
Volume = (Area x Depth) =(15000 x
^{3} = 750 m^{3}

1
20

)m```
```2) A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:

a) 12 kg

b) 60 kg

c) 72 kg

d) 96 kg

**Answer:**b) 60 kg

**Explanation:**

Volume of water displaced = (3 x 2 x 0.01) m^{3}

= 0.06 m^{3}.

Mass of man = Volume of water displaced x Density of water

= (0.06 x 1000) kg

= 60 kg.

```
```3)The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

a) 30Πm^{2}

b) 40Πm^{2}

c) 60Πm^{2}

d) 80Πm^{2}

**Answer:**b) 60Πm^{2}

**Explanation:**

l = 10 m,

h = 8 m.

So, r = √l^{2} - h^{2} = (10)^{2} - 8^{2} = 6 m.

Curved surface area = Πrl = (Π x 6 x 10) m^{2} = 60 m^{2}.

```
```4) The perimeter of one face of a cube is 20 cm. Its volume will be:

a) 125cm^{3}

b) 400cm^{3}

c) 250cm^{3}

d) 625cm^{3}

**Answer:**a) 125cm^{3}

**Explanation:**

Edge of cude = 20/4 = 5 cm

Volume = a*a*a = 5*5*5 = 125 cm^{3}

```
```5)How many cubes of 10 cm edge can be put in a cubical box of 1 m edge.

a)10000 cubes

b)1000 cubes

c)100 cubes

d)50 cubes

**Answer:**b)1000 cubes

**Explanation:**

Number of cubes =

100∗100∗100
10∗10∗10

=1000
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