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sort the objects according to their densities. which will float? which …

Question

sort the objects according to their densities. which will float? which will sink?
remember, water has a density of 1 gram per cubic centimeter.
brick: 38 g/20 cm³
clay: 54 g/45 cm³
butter: 8.7 g/10 cm³
oak wood: 56 g/80 cm³
wheat: 24 g/30 cm³

Explanation:

Step1: Calculate density for each object

Density formula: $\text{density}=\frac{\text{mass}}{\text{volume}}$.

  • Brick: $\frac{38}{20}=1.9\ \text{g/cm}^3$
  • Clay: $\frac{54}{45}=1.2\ \text{g/cm}^3$
  • Butter: $\frac{8.7}{10}=0.87\ \text{g/cm}^3$
  • Oak wood: $\frac{56}{80}=0.7\ \text{g/cm}^3$
  • Wheat: $\frac{24}{30}=0.8\ \text{g/cm}^3$

Step2: Sort based on density comparison with water's density ($1\ \text{g/cm}^3$)

Objects with density $< 1\ \text{g/cm}^3$ (float): Butter ($0.87\ \text{g/cm}^3$), Oak wood ($0.7\ \text{g/cm}^3$), Wheat ($0.8\ \text{g/cm}^3$).
Objects with density $> 1\ \text{g/cm}^3$ (sink): Brick ($1.9\ \text{g/cm}^3$), Clay ($1.2\ \text{g/cm}^3$).

Answer:

  • Float in Water (density $< 1\ \text{g/cm}^3$): Butter, Oak wood, Wheat.
  • Sink in Water (density $> 1\ \text{g/cm}^3$): Brick, Clay.