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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Correct Answer: 1674 cm3
Solution : The volume of a cube = (Side)3 The volume of the first cube = 73 = 343 cm3 The volume of the second cube = 113 = 1331 cm3 When the two cubes are melted and formed into a single cube, the volume of the new cube is the sum of the volumes of the original cubes = 343 + 1331 = 1674 cm3 Hence, the correct answer is 1674 cm3.
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Question : Two cubes each of edge 14 cm are joined to form a single cuboid. What is the volume of the cuboid formed?
Option 1: 5022 cm3
Option 2: 5244 cm3
Option 3: 5666 cm3
Option 4: 5488 cm3
Question : Two cubes each of edge 9 cm are joined to form a single cuboid. What is the total surface area of the cuboid formed?
Option 1: 775 cm2
Option 2: 810 cm2
Option 3: 990 cm2
Option 4: 1024 cm2
Question : The Largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?
Option 1: $\frac{792}{7}$ cm3
Option 2: $\frac{144}{7}$ cm3
Option 3: $\frac{133}{3}$ cm3
Option 4: $\frac{144}{3}$ cm3
Question : If the volume of a cube is 5832 cm3, then what is the lateral surface area of this cube?
Option 1: 1024 cm2
Option 2: 384 cm2
Option 3: 576 cm2
Option 4: 1296 cm2
Question : The volume of a cube is 2.197 cm3. Find the side of the cube.
Option 1: 1.3 cm
Option 2: 1.4 cm
Option 3: 1.1 cm
Option 4: 1.2 cm
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