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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Correct Answer: 26 cubic units
Solution : The initial edge of the cube = 1 unit Volume of the cube = 13 = 1 cubic unit According to the question, The new edge of the cube = 3 units The new volume of the cube = 33 = 27 cubic units $\therefore$ The increase in the volume = 27 – 1 = 26 cubic units Hence, the correct answer is 26 cubic units.
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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%
Question : India has how many states?
Option 1: 26
Option 2: 27
Option 3: 29
Option 4: 28
Question : The perimeter of a rectangle is 68 cm. If the area of the rectangle is 240 cm2, then what is the length of each of its diagonals?
Option 1: 25 cm
Option 2: 27 cm
Option 3: 26 cm
Option 4: 28 cm
Question : The length of each side of a cube is 4 cm. What is the volume of the cube?
Option 1: 128 cm3
Option 2: 48 cm3
Option 3: 64 cm3
Option 4: 32 cm3
Question : The volume of a cube is 512 cm3. What is the length of each side of this cube?
Option 1: 9 cm
Option 2: 8 cm
Option 3: 6 cm
Option 4: 12 cm
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