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Klio2033 [76]
3 years 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:
nikdorinn [45]3 years ago
6 0

Answer:

4.0 cm

Explanation:

According to the equation, density is defined as the ratio between mass and volume:

d = \frac{m}{V}

Assume that the side length of the given cube is a, then the volume of a cube is described by:

V = a^3

Substituting into the density equation, we obtain:

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

Rearranging for side a:

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

Given:

m = 128~g

d = 2.0~g/cm^3

We obtain:

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

kozerog [31]3 years ago
5 0

Density = Mass / Volume

Volume = Mass/Density

Volume = 2/128

Volume = 1/64

so side will be 4 cm

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