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determine the density of an object that is 25 cm long 10 cm wide and 2 cm high with a mass of 50 g

Sagot :

Answer:

[tex]\boxed {\boxed {\sf \rho= 0.1 \ g/cm^3 }}[/tex]

Explanation:

Density is found by dividing the mass by the volume.

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

The mass is 50 grams, but we have to find the volume.

Assuming this is a solid rectangular object, we can use this formula for volume:

[tex]v=l*w*h[/tex]

The length is 25 centimeters, the width is 10 centimeters, and the height is 2 centimeters.

[tex]v= 25 \ cm * 10 \ cm * 2 \ cm[/tex]

[tex]v= 250 \ cm^2 * 2 \ cm[/tex]

[tex]v= 500 \ cm^3[/tex]

Now we know the mass and volume:

[tex]m= 50 \ g\\v= 500 \ cm^3[/tex]

Substitute the values into the formula.

[tex]\rho = \frac{50 \ g}{500 \ cm^3}[/tex]

[tex]\rho= 0.1 \ g/cm^3[/tex]

The density of the object is 0.1 grams per cubic centimeter.