CamarieJ147637 CamarieJ147637
  • 26-10-2022
  • Mathematics
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What is the density, in grams/cubic inch, of a substance with a mass of 6 grams filling a rectangular box with dimensions 2 in x 6 in x 3 in?680.110.17

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LinleeV482477 LinleeV482477
  • 26-10-2022

The density of a substance is its mass per unit volume.

[tex]\rho=\frac{m}{V}[/tex]

where,

ρ (rho) =density

m=mass

V=volume

in this example

m = 6 grams

V = 2*6*3 = 12*3 = 36 in^3

therefore,

[tex]\rho=\frac{6}{36}=\frac{1}{6}[/tex]

This is the same as:

[tex]\rho=\frac{1}{6}=0.17[/tex]

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