Question : If each edge of a cube is increased by 40%, the percentage increase in its surface area is:
Option 1: 40%
Option 2: 60%
Option 3: 80%
Option 4: 96%
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Correct Answer: 96%
Solution : Given: each side of the cube is increased by 40% Let the edge of a cube be 100 cm. New edge after increment of 40% = 140 cm The surface area of a cube before increment = 6 × 100 × 100 = 60000 cm2 Surface area of a cube after increment = 6 × 140 × 140 = 117600 cm2 Percentage increase in surface area = $\frac{\text{Difference}}{\text{Surface area before increment}}×100$ = $\frac{117600-60000}{60000}×100$ = $\frac{57600}{60000}×100$ = 96% Hence, the correct answer is 96%.
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Question : Each side of a square is increased by 10%. The percentage increase in its area is:
Option 1: 25
Option 2: 12.5
Option 3: 20
Option 4: 21
Question : The radius of a circle is increased by 10%. The percentage increase in its area is:
Option 1: 10%
Option 2: 11%
Option 3: 20%
Option 4: 21%
Question : If the curved surface area of a solid cylinder is two-fifths of its total surface area, then what is the ratio of its diameter to its height?
Option 1: 2 : 5
Option 2: 1 : 2
Option 3: 2 : 3
Option 4: 3 : 1
Question : If the diameter of a circle is increased by 8%, then its area is increased by:
Option 1: 16.64%
Option 2: 6.64%
Option 3: 16%
Option 4: 16.46%
Question : What is the increase in the volume of a cube of 1 unit edge if each of its edges is tripled?
Option 1: 26 cubic units
Option 2: 29 cubic units
Option 3: 28 cubic units
Option 4: 27 cubic units
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