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A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. The block weighs 1587 g. From this information, calculate the density of lead.

Question

A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. The block weighs 1587 g. From this information, calculate the density of lead.

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Solution

Sure, here are the steps to calculate the density of the lead block:

Step 1: Calculate the volume of the block. The volume of a rectangular block is given by the formula length x width x height. So, the volume of the block is 4.50 cm x 5.20 cm x 6.00 cm = 140.4 cm³.

Step 2: Convert the weight of the block into kilograms, because the standard unit of density is kg/m³. 1 g is equal to 0.001 kg, so 1587 g = 1.587 kg.

Step 3: Convert the volume from cm³ to m³, because the standard unit of volume is m³. 1 cm³ is equal to 1e-6 m³, so 140.4 cm³ = 0.0001404 m³.

Step 4: Calculate the density. The density of an object is given by the formula mass/volume. So, the density of the block is 1.587 kg / 0.0001404 m³ = 11300 kg/m³.

So, the density of the lead block is approximately 11300 kg/m³.

This problem has been solved

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