Respuesta :

jcherry99

Answer:

edge length = 3.61 cm

Explanation:

Givens

m = 369 gm

d = 7.86 gm / cm^3

v = ?

Formula

v = m / d

Solution

v = 369 / 7.86

v = 46.95 cm^3

============

That's not the answer. You must take the cube root of the volume

side = cube root (46.95)

side = 3.61 cm

Cricetus

The Edge length of the iron cube will be "3.61 cm".

Given values,

Weight of iron cube,

m = 369 g

Density of iron,

d = 7.86 g/cm³

The volume of iron cube will be:

→ [tex]V = \frac{m}{d}[/tex]

      [tex]= \frac{369}{7.86}[/tex]

      [tex]= 46.95 \ cm^3[/tex]

As we know that the volume of cube is "[tex]a^3 \ cm^3[/tex]".

hence,

→ [tex]a^3 = 46.95 \ cm^3[/tex]

or,

→ [tex]a = (46.95 \ cm^3)^{\frac{1}{3} }[/tex]

     [tex]= 3.61 \ cm[/tex]

Thus the above answer is correct.

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