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Calculate the mass, in kilograms, of an object that occupies .253 dm3 and has a density of 4.14 g/cm3. |
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Answer» Answer: 1000 Step-by-step explanation: Explanation: Alright so we know the formula for density is ρ = m v => where ρ is the density with units of the derived components, m is the MASS, and v is the volume. We can rearrange this formula to get US the volume. By doing so, we get v = m ρ . I got to this conclusion by using the "Triangle Method" - a diagram that provides an understand to how simple equations (multiply and DIVIDE) relate to one another. I noticed that the density of the object is 4.0 g c m 3 . That means that the derived components are the mass (in grams) and volume (in cubic centimetres). Thus we have to convert the mass from 4 k g to grams. We can do this by multiplying the mass by 1000 . We get 4000 g . Now we can use the formula we REARRANGED and plug in the numbers to solve for the volume. v = m ρ = 4000 4 = 1000 Therefore, the volume of the space that the object occupies is 1000 c m 3 . Hope this helps :) |
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