Determine the mass, in grams, of a piece of this metal that has a volume of 15.3 cubic centimeters. Round your answer to the nearest tenth of gram? SHOW YOUR WORK

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1 Answer
Apr 4, 2018

#130.4g# (nearest tenth)

Explanation:

there is a proportional relationship between the mass and the volume of the metal.

this is known as density.

the density shows the mass of an object in proportion to its volume by denoting the mass of #1cm^3# of the object.

since the density is the mass of a certain volume, density is found by dividing mass by volume.

here, the mass is proportional to the volume, so the mass of the metal divided by the volume should be constant.

this means that the mass of any volume of the metal can be found by multiplying the volume by the density.

if the density is constant, then

#34.932/4.1 = 47.712/5.6 = 61.344/7.2 = 99.684/11.7#.

indeed, each equates to #8.52#, with unit #g//cm^3#.

mass = volume * density

therefore at a volume of #15.3cm^3#, the mass is #15.3cm^3 * 8.52 g//cm^3#.

this equates to #130.356g#, or #130.4g# to the nearest tenth of a gram.