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 : One Astronomical Unit and one Parsec are units of________.
Option 1: current
Option 2: mass
Option 3: length
Option 4: volume
Question : Two cubes of iron whose edges are 7 cm and 11 cm are melted and formed into a single cube. Find the volume of the new cube formed.
Option 1: 1881 cm3
Option 2: 1674 cm3
Option 3: 1444 cm3
Option 4: 1221 cm3
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