IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3 Question 28

Question 28

Anna has a cubic box with space diagonal $\sqrt{3}$ dm. Which of the following spheres can fit inside it?

1. A sphere of radius 1 dm.
2. A sphere of diameter $\sqrt{3}$ dm.
3. A sphere of volume 1 dm³.
4. A sphere of surface area 6 dm².
5. A sphere of diameter 1 dm.