Aptitude - Volume and Surface Area
Exercise : Volume and Surface Area - General Questions
- Volume and Surface Area - Formulas
- Volume and Surface Area - General Questions
- Volume and Surface Area - Data Sufficiency 1
- Volume and Surface Area - Data Sufficiency 2
6.
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:
Answer: Option
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. |
7.
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m^{3}, then the rise in the water level in the tank will be:
Answer: Option
Explanation:
Total volume of water displaced = (4 x 50) m^{3} = 200 m^{3}.
Rise in water level = | 200 | m 0.25 m = 25 cm. | |
40 x 20 |
8.
The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.
Answer: Option
Explanation:
l = 10 m,
h = 8 m.
So, r = l^{2} - h^{2} = (10)^{2} - 8^{2} = 6 m.
Curved surface area = rl = ( x 6 x 10) m^{2} = 60 m^{2}.
9.
A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Answer: Option
Explanation:
Area of the wet surface | = [2(lb + bh + lh) - lb] |
= 2(bh + lh) + lb | |
= [2 (4 x 1.25 + 6 x 1.25) + 6 x 4] m^{2} | |
= 49 m^{2}. |
10.
A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m^{3}) is:
Answer: Option
Explanation:
Clearly, l = (48 - 16)m = 32 m,
b = (36 -16)m = 20 m,
h = 8 m.
Volume of the box = (32 x 20 x 8) m^{3} = 5120 m^{3}.
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