Question 10
A closed cubical box measures $15\times15\times15$ cm. Two small holes are made at the positions shown. What is the greatest volume of water, in $\mathrm{cm}^3$, that the box can hold? Explain your reasoning.
Practice clarification: rest the closed box flat on one of its faces, with both holes unobstructed. Tilting the box is outside this practice model.
Practice clarification: rest the closed box flat on one of its faces, with both holes unobstructed. Tilting the box is outside this practice model.