Answer:
(a) It is safe to place the plant box on a window ledge that can support a maximum weight of 2400 grams.
(b) The density of the soil would not change if the plant box was only half full.
Step-by-step explanation:
(a) It is safe to place the plant box on a window ledge that can support a maximum weight of 2400 grams. To determine whether it is safe, we need to calculate the weight of the plant box and the soil inside it.
The volume of a cube is calculated by multiplying the length of one edge by itself three times. In this case, the length of one edge is given as 11 cm. So the volume of the cube-shaped plant box is 11 cm * 11 cm * 11 cm = 1331 cm³.
To find the weight of the soil, we multiply the volume of the soil by its density. The density of the potting soil is given as 1.33 g/cm³. So the weight of the soil is 1331 cm³ * 1.33 g/cm³ = 1770.23 g.
Adding the weight of the plant box itself, which is negligible compared to the weight of the soil, the total weight is less than 2400 grams. Therefore, it is safe to place the plant box on the window ledge.
(b) The density of the soil would not change if the plant box was only half full. Density is a property of a material that remains constant regardless of the amount or size of the sample. It is calculated by dividing the mass of the material by its volume. In this case, the density of the potting soil is given as 1.33 g/cm³, which means that for any given volume of the soil, the mass will remain the same.
If the plant box is only half full, the volume of the soil will be reduced, but the mass of the soil will remain the same. Therefore, the density of the soil will not change.
