Question

Solve density if the mass of an object is 909g and the dimensions are h=41.6cm w=41.6cm l=41.6cm

Answer 1

Taking into account the definition of density, the density on the object is 0.012626 g/cm³.

Definition of density

Density is defined as the property that matter has to compress into a given space. This is, density is a quantity referred to the amount of mass in a certain volume of a substance.

Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

You can see that density is directly proportional to mass and inversely proportional to volume.

Density in this case

In this case, you know that:

• Mass=909 grams
• Volume= h×w×l= 41.6 cm× 41.6 cm× 41.6 cm= 71,991.296 cm³

Replacing in the definition of density:

density= 909 grams÷ 71,991.296 cm³

Solving:

density= 0.012626 g/cm³

In summary, the density on the object is 0.012626 g/cm³.

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