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liubo4ka
3 months ago
7

The density of a cube is 2.0gcm3. If the mass is 128 g, what is the length of each side of the cube?

Chemistry
2 answers:
eduard [2.7K]3 months ago
6 0

Answer:

4.0 cm

Explanation:

The formula for density defines it as a relation between mass and volume:

d = \frac{m}{V}

Assuming the side length of the cube is a, the volume can be represented as:

V = a^3

Inserting this into the density formula yields:

d = \frac{m}{a^3}

Rearranging for side a gives:

a = \sqrt[3]{\frac{m}{d}}

Given:

m = 128~g

d = 2.0~g/cm^3

We conclude with:

a = \sqrt[3]{\frac{128~g}{2.0~g/cm^3}} = 4.0~cm

eduard [2.7K]3 months ago
5 0

Density is calculated as Mass divided by Volume.

Volume can also be expressed as Mass divided by Density.

Volume becomes 2 divided by 128.

This results in Volume equal to 1/64.

Therefore, each side measures 4 cm.

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