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Bill has a perfect cube of an unknown substance. The density of the substance is 3.0 g/cm. He

found the mass of the cube to be 81 9. What is the length of one side of the cube?
Find the volume first:
volume from calculation = ___cm x__cm x__cm (vol. of a cube)

1 Answer

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The volume of the cube of unknown substance is
27\ cm^3. The length of one side of the cube is 9 cm

Step-by-step explanation:

As per the formula of mass and density, Mass / Density equals to volume. Therefore as the mass of the cube was given to be 81 g and the density of the cube is known to be 3.0 g/
\mathrm{cm}^(3),, to help Bill find out the volume. It is the ratio of mass and density and can be calculated as


\text {volume}=\frac{\text {mass}}{\text {density}}=\frac{81 g}{3 g / \mathrm{cm}^(3)}=27 \mathrm{cm}^(3)

As it is a cube, the volume is product of length, breadth, and height. Here, all sides are same as it is the cube.


volume= length * breadth * height


27=3 l


length of cube's one side, l=(27)/(3)=9 \mathrm{cm}

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