Question
The density of water is approximately 1 g/cm3 . An ice block with a height of 2 cm, length of 2 cm, width of 5 cm, and mass of 18.4 g is dropped in water. Will it float or sink? In 3–5 sentences, show your calculations and explain how you arrived at your conclusion.
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Answered by
GPT-4o mini
To determine whether the ice block will float or sink, we need to calculate its density and compare it to the density of water (1 g/cm³).
First, calculate the volume of the ice block:
\[
\text{Volume} = \text{height} \times \text{length} \times \text{width} = 2 \, \text{cm} \times 2 \, \text{cm} \times 5 \, \text{cm} = 20 \, \text{cm}^3
\]
Next, calculate the density of the ice block using its mass and volume:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{18.4 \, \text{g}}{20 \, \text{cm}^3} = 0.92 \, \text{g/cm}^3
\]
Since the density of the ice block (0.92 g/cm³) is less than the density of water (1 g/cm³), the ice block will float when dropped into the water.
First, calculate the volume of the ice block:
\[
\text{Volume} = \text{height} \times \text{length} \times \text{width} = 2 \, \text{cm} \times 2 \, \text{cm} \times 5 \, \text{cm} = 20 \, \text{cm}^3
\]
Next, calculate the density of the ice block using its mass and volume:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}} = \frac{18.4 \, \text{g}}{20 \, \text{cm}^3} = 0.92 \, \text{g/cm}^3
\]
Since the density of the ice block (0.92 g/cm³) is less than the density of water (1 g/cm³), the ice block will float when dropped into the water.
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