Here are the answers to your questions:
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What quantity measures the amount of space an object occupies?
- Answer: Volume
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The cubic centimeter (cm³) is a measurement of which of the following quantities?
- Answer: Volume
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A student is trying to calculate the density of an ice cream cone. She already knows the mass, but she needs to determine the volume as well. Which of the following formulas can be used to calculate the volume of the cone?
- Answer: V equals one-third times pi times r squared times h (V = (1/3)πr²h)
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Complete this sentence. If mass remains the same while the volume of a substance , the density of the substance will_______.
- Answer: increases, decrease (Density = mass/volume; if volume increases and mass stays the same, density decreases)
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A sample of marble has a volume of 6 cm³ and a density of 2.76 g/cm³. What is its mass?
- To find mass, use the formula: \[ \text{Mass} = \text{Density} \times \text{Volume} = 2.76 , \text{g/cm}^3 \times 6 , \text{cm}^3 = 16.56 , \text{g} \]
- Answer: 16.56 g
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A cylinder with a mass of 12 g has a radius measuring 2 cm and a height of 6 cm. What is its density?
- First, calculate the volume of the cylinder using the formula \( V = \pi r^2 h \): \[ V = \pi (2 , \text{cm})^2 (6 , \text{cm}) = \pi (4 , \text{cm}^2)(6 , \text{cm}) = 24\pi , \text{cm}^3 \approx 75.4 , \text{cm}^3 \]
- Now, calculate the density: \[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{12 , \text{g}}{75.4 , \text{cm}^3} \approx 0.1595 , \text{g/cm}^3 \text{ which rounds to } 0.16 , \text{g/cm}^3 \]
- Answer: 0.16 g/cm³
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A sample of an unknown liquid has a volume of 30.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value.
- To find density, use the formula: \[ \text{Density} = \frac{\text{mass}}{\text{volume}} = \frac{6 , \text{g}}{30.0 , \text{mL}} = 0.2 , \text{g/mL} \]
- Answer: The density of the unknown liquid is 0.2 g/mL.
Feel free to ask if you have more questions!