Calculate (a) the density of a solid substance if a cube measuring 2.33 cm on one side has a mass of 117 g and (b) the mass of a cube of the same substance measuring 7.41 cm on one side.

For a: The density of a solid substance is

For b: The mass of the cube is 3763.14 grams.

Explanation:

To calculate the volume of cube, we use the formula:

     .....(1)

where,

a = edge length of cube

Edge length of cube = 2.33 cm

Volume of cube =

Mass of cube = 117 g

To calculate density of a substance, we use the equation:

    .....(2)

Putting values in above equation, we get:

Hence, the density of a solid substance is

Edge length of cube = 7.41 cm

Volume of cube =

Density of cube =

To calculate the mass of cube, we use equation 2:

Hence, the mass of the cube is 3763.14 grams.

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