Question

12

9. An empty, massless cube is measured to have all sides equal to 11 cm. It is floating in water and will slowly be filled with sand
that has a density of 3.5 g/cm'. What volume of sand will cause the box to sink?

Answer 1

See below ~

Step-by-step explanation:

An object will sink in water when its density is greater than that of water, which is 1 g/cm³.

Volume of the box is 1331 cm³. (11³)

Maximum mass of sand will be 1331 g. [because 1331/1331 = 1 g/cm³]

• Volume of sand = Mass of sand / Density of sand
• Volume (sand) = 1331/3.5
• Volume (sand) = 380.29 cm³

If the volume of sand is greater than 380.29 cm³, the box will sink in water.