Would a solid cube with 6-cm sides and a mass of 270 g float?

Answer 1

To determine if a solid cube with 6-cm sides and a mass of 270 g would float, we need to calculate its density and compare it to the density of water. The volume of the cube is (6 , \text{cm} \times 6 , \text{cm} \times 6 , \text{cm} = 216 , \text{cm}^3). The density of the cube is ( \frac{270 , \text{g}}{216 , \text{cm}^3} \approx 1.25 , \text{g/cm}^3), which is greater than the density of water (1 g/cm³). Therefore, the cube would not float.