Pure Color Crystal

Chemistry homework help?

Okay well I'm doing some chemistry homework and need some help.
I do not understand how to do some of these, and would be grateful if someone could tell me the answer and how they got it.

44. What is the volume of a salt crystal measuring 2.44 x 10^-2 m by 1.4 x 10^-3 m by 8.4 x 10^-3 m?

74. What is the volume of an object with a density of 7.73 g/cm^3 and a mass of 5.40 x 10^2 g?

75. A cube of a gold-colored metal with a volume of 59 cm^3 has a mass of 980 g. The density of pure gold is 19.3 g/cm^3. Is the metal pure gold?

76. Describe the rules that are used to determine the number of significant figures in the results of addition, subtraction, multiplication, and division.

Thank you for those who are trying to help.

44. Volume = [2.44 x 10^-2 m] x [1.4 x 10^-3 m] x [8.4 x 10^-3 m]

= 2.9 x 10^-7 m³

74. Density = mass / volume

volume = mass / density

= [5.40 x 10^2 g] / [7.73 g/cm³]

= 69.9 cm³

75. Density = mass / volume

= 980 g / 59 cm³

= 16.6 g/cm³

Now 16.6 g/cm³ < 19.3 g/cm³ so the metal is NOT pure gold

76. Check this:

http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch1/sigfigs.html

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