Pls help me I am struggling with this question!!!!!!
A block of wood has a density of 2.7 grams per cubic centimeter. If the block has a mass of 54 grams, what is its volume?

a.145.8 cubic centimeters
b.0.05 cubic centimeters
c.20 cubic centimeters
d.27 cubic centimeters

Respuesta :

[tex]20\ \mathrm{cm}^{3}[/tex] is its volume.

Option C

Step-by-step explanation:

Density is a measure that compares the amount of material in an object with its volume. An object containing a large amount of material in a given volume has a high density.

An object with a small amount of material and the same volume has a low density. Density has to be evaluated by the ratio of object's weight and its volume.

                  [tex]\text {Density}=\frac{m}{\text {volume}}[/tex]

                  [tex]\text {volume}=\frac{m}{\text { density }}[/tex]

Given data:

Density  [tex]= 2.7 g / \mathrm{cm}^{3}[/tex]

Mass = 54 grams

We need to find the volume of block of wood

By substituting the given values in the above equation, we get

                   [tex]\text {volume}=\frac{54}{2.7}=20 \mathrm{cm}^{3}[/tex]

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