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This guide outlines three methods to calculate the density of both regular and irregular objects. For regular objects, measure each side, calculate volume, determine mass, and apply the density formula D = m/V. For irregular objects, measure water displacement in a graduated cylinder to find volume, then record mass and compute density. Examples include calculating the density of a bamboo block and a lead sample using specific measurements, as well as determining the density of mercury in a graduated cylinder.
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Regular Objects • Measure the each side of the block in centimeters. Calculate volume in cm³: multiply the length x width x height. • Place the block on a balance and determine the mass in grams. • Calculate density D= m V
Calculate the Density • A block of bamboo measures 7.25cm x 3.91cm x 2.55cm. The mass of the block is 28.91 g. What is the density of the block? • D = m/V
Calculate the Density • A block of bamboo measures 7.25cm x 3.91cm x 2.55cm. The mass of the block is 28.91 g. What is the density of the block? • D = m/VD = 28.91 g / 7.25cm x 3.91cm x 2.55cmD = 0.40 g/ cm³
Irregular Objects • Measure water in graduated cylinder. Add object and measure again. Calculate volume: 2nd# - 1st#. • Place object on balance and determine mass in grams. • Calculate density D= m V
Calculate the Density • A sample of lead is found to have a mass of 32.6g. A graduated cylinder contains 2.8ml of water. After the lead sample is added to the cylinder, the water level reads 5.7ml. Calculate the density of the lead sample. • D = m/V
Calculate the Density • A sample of lead is found to have a mass of 32.6g. A graduated cylinder contains 2.8ml of water. After the lead sample is added to the cylinder, the water level reads 5.7ml. Calculate the density of the lead sample. • D = m/V • D = 32.6 g / (5.7ml – 2.8ml) • D = 32.6 g / 2.9ml • D = 11.24 g/ml
Density of a Liquid • Place empty graduated cylinder on balance and determine the mass in grams. • Add liquid and read the amount to find volume. • Place full graduated cylinder on the balance. Calculate mass: Full cylinder – empty cylinder. • Calculate density D= m V
Calculate the Density • A graduated cylinder has a mass of 83.20g. After 350ml of liquid mercury is added the cylinder has a mass of 4,843.20g. What is the density of the mercury?
Calculate the Density • A graduated cylinder has a mass of 83.20g. After 350ml of liquid mercury is added the cylinder has a mass of 4,843.20g. What is the density of the mercury? • D = m/V • D = (4,843g – 83.20g) / 350ml • D = 4760g /350ml • D = 13.60 g/ml