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The density of an object can be calculated by dividing the object's mass by its volume. A rectangular prism has a density of
15g/cm'. The prism has a mass of 5,625 9. The length of the object is 5 cm. The width of the object is 3 cm. What is the height of
the object?

Answer :

calculista

Answer:

The height of the prism is 25 cm

Step-by-step explanation:

step 1

Find the volume of the prism

Let

D -----> the density in g/cm^3

m -----> the mass in g

V -----> the volume in cm^3

we know that

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

Solve for V

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

we have

[tex]m=5,625\ g[/tex]

[tex]D=15\ g/cm^3[/tex]

substitute

[tex]V=\frac{5,625}{15}[/tex]

[tex]V=375\ cm^3[/tex]

step 2

Find the height of the prism

we know that the volume of the prism is equl to

[tex]V=LWH[/tex]

we have

[tex]L=5\ cm[/tex]

[tex]W=3\ cm[/tex]

[tex]V=375\ cm^3[/tex]

substitute the values and solve for H

[tex]375=(5)(3)H[/tex]

[tex]H=375/15[/tex]

[tex]H=25\ cm[/tex]

therefore

The height of the prism is 25 cm

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