<PRE><B>Question 1152546</B>
dimensions of the monolith = 1.50 m × 5.20 m × 13.00 m
mass of rock chips = 41.73 g
volume of rock chips = 15.2 cm3
a) Determine the mass of the monolith in pounds, assuming it is of uniform composition (2.205 lbs = 1 kg).
------------------------------------------------------------------------------
the volume of the monolith is equal to 1.5 * 5.2 * 13 = 101.4 cubic meters.
since 1 cubic meter is equal to 1 million cubic centimeters, then the volume of the monolith is equal to 101.4 million cubic centimeters.
the ratio of grams per cubic centimeter is equal to 41.73 / 15.2 = 2.745394737.
this ratio was taken from the rock chips.
based on this ratio, the monolith has a mass of 2.745394737 * 101.4 million cubic centimeters = 278.3830263 million grams.
since 1 kilogram is equal to 1000 grams, then the mass of the monolith is equal to 278.3830263 million / 1000 = 278.3830263 thousand kilograms.
since the mass in pounds is equal to 2.205 * the mass in kilograms, then the mass of the monolith is equal to 2.205 * 278.3830263 thousand kilograms = 623.834573 thousand pounds.
that should be your answer.
------------------------------------------------------------------------------
you can do the same thing using scientific notation as shown below:
-----------------------------------------------------------------------------
the volume of the monolith is equal to 1.5 * 5.2 * 13 = 101.4 cubic meters.
since 1 cubic meter is equal to 1 million cubic centimeters, then the volume of the monolith is equal to 101.4 * 10^6 cubic centimeters.
the ratio of grams per cubic centimeter is equal to 41.73 / 15.2 = 2.745394737.
this ratio was taken from the rock chips.
based on this ratio, the monolith has a mass of 2.745394737 * 101.4 * 10^6 cubic centimeters = 278.3830263 * 10^6 grams.
since 1 kilogram is equal to 1000 grams, then the mass of the monolith is equal to 278.3830263 * 10^6 / 10^3 = 278.3830263 10^3 kilograms.
since the mass in pounds is equal to 2.205 * the mass in kilograms, then the mass of the monolith is equal to 2.205 * 278.3830263 * 10^3 kilograms = 623.834573 * 10^3 pounds.
that should be your answer.
-----------------------------------------------------------------------------
you can also do this using straight decimal format as shown below:
-----------------------------------------------------------------------------
the volume of the monolith is equal to 1.5 * 5.2 * 13 = 101.4 cubic meters.
since 1 cubic meter is equal to 1 million cubic centimeters, then the volume of the monolith is equal to 101,400,000 cubic centimeters.
the ratio of grams per cubic centimeter is equal to 41.73 / 15.2 = 2.745394737.
this ratio was taken from the rock chips.
based on this ratio, the monolith has a mass of 2.745394737 * 101,400,000 cubic centimeters = 278,383,026.3 grams.
since 1 kilogram is equal to 1000 grams, then the mass of the monolith is equal to 278,383,026.3 / 1000 = 278,383.0263 kilograms.
since the mass in pounds is equal to 2.205 * the mass in kilograms, then the mass of the monolith is equal to 2.205 * 278,383.0263 kilograms = 613,834.573 pounds.
that should be your answer.
-----------------------------------------------------------------------------
anyway you do it, the answer is, and should be, the same.
</PRE>