How many ice cubes can be accommodated in a container?
(I) The length and breadth of the container is 20 cm and 15 cm respectively.
(II) The edge of the ice cube is 2 cm.
(I) The length and breadth of the container is 20 cm and 15 cm respectively.
(II) The edge of the ice cube is 2 cm.
- Statement I alone is sufficient to answer the question.
- Statement II alone is sufficient to answer the question.
- Both statements I and Ii together are necessary to answer the question.
- Both statements I and II together are not sufficient to answer the question.
The Correct Option is D
Solution and Explanation
Statement I provides the length and breadth of the container: 20 cm and 15 cm respectively. However, this only gives us the area of the base of the container which is 300 cm². Without the container's height, we cannot compute its volume, thus we cannot determine how many ice cubes it can hold.
Statement II provides the edge length of the ice cube: 2 cm. Therefore, the volume of one ice cube is
2 cm × 2 cm × 2 cm = 8 cm³. However, without the volume of the container, we cannot determine the total number of ice cubes that can fit inside.Both statements together provide the area of the base of the container and the size of an ice cube, but without the container's height, neither individually nor together can sufficiently answer how many ice cubes can be accommodated.
Conclusion: Both statements I and II together are not sufficient to answer the question.
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