Question : A solid cuboid is melted to form several cubes. If the length, breadth and height of a cuboid are 20 cm, 16 cm and 8 cm and the edge of each cube is 4 cm, then the number of cubes is:
Option 1: 50
Option 2: 44
Option 3: 40
Option 4: 48
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Correct Answer: 40
Solution : Dimensions of cuboid are 20, 16 and 8 cm. The length of the side of the cube = 4 Volume of cuboid = $l\times b\times h$ Volume of cube = $a^3$ Number of cubes = $\frac{\text{Volume of cuboid}}{\text{Volume of cube}}$ = $\frac{20\times 16\times 8}{4\times4\times4}$ = 40 Hence, the correct answer is 40.
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Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?
Option 1: 64 cm2
Option 2: 22 cm2
Option 3: 32 cm2
Option 4: 30 cm2
Question : The sum of the length, breadth, and height of a cuboid box is 20 cm and the total surface area of a cuboid is 256 sq. cm. What is the maximum length (in approximate) of a stick that can be placed inside the cuboid box?
Option 1: 16 cm
Option 2: 24 cm
Option 3: 32 cm
Option 4: 12 cm
Question : The length of a cuboid is thrice of its breadth and the height of a cuboid is twice its breadth. If the breadth of the cuboid is 6 cm, then what is the total surface area of the cuboid?
Option 1: 844 cm2
Option 2: 708 cm2
Option 3: 762 cm2
Option 4: 792 cm2
Question : The length of a cuboid is 8 cm. If the breadth of the cuboid is twice its length and the height of the cuboid is half of its length, then what is the total surface area of the cuboid?
Option 1: $448 \ \text{cm}^2$
Option 2: $216 \ \text{cm}^2$
Option 3: $188\ \text{cm}^2$
Option 4: $154\ \text{cm}^2$
Question : Three solid iron cubes of edges 4 cm, 5 cm, and 6 cm are melted to make a new cube. 62 cm3 of the melted material is lost due to improper handling. The area (in cm2) of the whole surface of the newly formed cube is:
Option 1: 294
Option 2: 343
Option 3: 125
Option 4: 216
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