Question : How many identical solid cubes, each having sides that are 3 cm long, can be formed by melting a solid cuboid, whose length, breadth and height are 9 cm, 12 cm and 15 cm, respectively?
Option 1: 50
Option 2: 120
Option 3: 60
Option 4: 90
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Correct Answer: 60
Solution : Given: Length of cuboid, l = 9 cm Breadth of cuboid, b = 12 cm Height of cuboid, h = 15 cm Volume of cuboid = l × b × h = 9 × 12 × 15 = 1620 m3 Now, side of the cube, a = 3 cm Volume of cube = a3 = 33 = 27 m3 Total solid cubes formed = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}= \frac{1620}{27}= 60$ Hence, the correct answer is 60.
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Question : The length of each side of a cube is 24 cm. The volume of the cube is equal to the volume of a cuboid. If the breadth and the height of the cuboid are 32 cm and 12 cm, respectively, then what will be the length of the cuboid?
Option 1: 36 cm
Option 2: 56 cm
Option 3: 48 cm
Option 4: 42 cm
Question : The length, breadth, and height of a cuboid are 40 cm, 20 cm, and 10 cm, respectively. What is the volume of this cuboid?
Option 1: 16000 cm3
Option 2: 8000 cm3
Option 3: 2000 cm3
Option 4: 4000 cm3
Question : The length, breadth, and height of a cuboid are 4 cm, 6 cm, and 10 cm respectively. Find the total surface area.
Option 1: $248\ \text{cm}^2$
Option 2: $244\ \text{cm}^2$
Option 3: $144\ \text{cm}^2$
Option 4: $222\ \text{cm}^2$
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 : The length of a cuboid is six times its breadth and the height of a cuboid is four times its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid?
Option 1: 484 cm2
Option 2: 612 cm2
Option 3: 576 cm2
Option 4: 676 cm2
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