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To find the density, take the mass and divide it by the volume. However, we first have to get our units right.

First convert the dimensions into centimeters to find the volume in cm3

There are 10 centimeters in a decimeter, so 2.0 decimeters is 20 cm.

There are 10 millimeters in a centimeter, so 35 millimeters is 3.5 cm.

The volume is the product of the three dimensions:

Volume is 20 * 8 * 3.5 = 560 cm3

Then find the mass in grams:

There are 1000 grams in a kilogram, so 6.356 kg is 6356 grams.

The density is mass per volume, so just divide:

6356 grams ÷ 560 cm3 = 11.35 grams per cm3

Using the correct number of significant digits, that is 11 g/cm3

See the Related Questions to the left for more information.

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16y ago
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14y ago

11.35 g/cm^3

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Q: If a block of lead with dimensions 2.0 decimeters by 8.0 cm by 35 millimeters has a mass of 6.356 kg what is the density of lead in grams per cubic cm?
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