What are the mass and volume of a cork?
What are the mass and volume of iron?
Please provide the calculations and work for each.
Answer (3)
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The mass and volume of cork and iron can vary, but cork typically has a low density of 240 kg/m³, making it buoyant, while iron has a high density of 7,870 kg/m³. Volume is calculated based on the object's dimensions or through water displacement for irregular shapes, and mass is found by multiplying volume by density.
The mass and volume of a cork or iron can vary depending on the size and shape of the material sample. However, for explanatory purposes, we can provide typical values and methods for calculation. The mass of an object is a measure of the amount of matter it contains, and volume is the amount of space it occupies. Cork is known for being less dense than water, having a density around 240 kg/m³, while iron has a much higher density of approximately 7,870 kg/m³.
To measure the mass, you would use a scale. The volume of a cork could be found using the water displacement method, which involves submerging the cork in water and measuring the volume of water it displaces. This method works because cork floats due to its low density. For iron, this method is less practical due to the high density, so the volume is more often calculated based on the dimensions of the iron sample if it has a regular shape.
For example, if you have a cubic piece of cork with a side length of 2 cm, its volume would be calculated using the formula for the volume of a cube: V = s³, where 's' is the length of a side. V = 2 cm x 2 cm x 2 cm = 8 cm³. If we assume the piece of cork has the typical density of cork, its mass can be estimated using the formula: mass = density x volume. The estimated mass would be mass = 240 kg/m³ x 0.000008 m³ (since 1 cm³ equals 1x10^-6 m³) which gives a mass of approximately 0.00192 kg or 1.92 grams.
In contrast, the volume of a piece of iron can be calculated using the same formula if it has a regular shape and the mass would then be determined using its density: mass = 7,870 kg/m³ * volume. So, if you have a cubic centimeter of iron, its mass would be 7,870 kg/m³ x 0.000001 m³ = 7.87 grams.
Cork has a density of about 240 kg/m³, allowing the volume to be calculated as mass divided by density. Iron, much denser, has a density of approximately 7,870 kg/m³; the same formulas apply. Using these values, you can find both mass and volume based on solid measurements.
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