Question

a cube of mass 128g has density of 2g/^3 what is the length each side of cube​​

Answer 1

The length of the side of the cube is 4 cm

Explanation:

The density of the cube is given by:

$\rho=\frac{m}{V}$

where

m is the mass of the cube

V is its volume

Also, the volume of the cube is given by

$V=L^3$ (2)

where L is the length of each side.

For the cube in this problem we have:

m = 128 g

$\rho=2 g/cm^3$

From the first equation, we find the volume of the cube:

$V=\frac{m}{\rho}=\frac{128}{2}=64 cm^3$

And now we use eq.(2) to find the length of the side:

$L=\sqrt[3]{V}=\sqrt[3]{64}=4 cm$

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