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Write out code for a cube with dimensions of 6 units.

User Zedryas
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Final answer:

To find the length of a cube with a given mass and density, we can use the formula: density = mass/volume. Rearrange the formula to solve for the volume, substitute the values, and then find the cube root of the volume to get the side length. The length of a side of the cube is approximately 1.60×10⁻⁶ meters.

Step-by-step explanation:

To find the length of a side of a cube given the mass and density, we can use the formula:

density = mass/volume

Since the density is given as 2.3×10¹⁷ kg/m³ and the mass is 1.0 kg, we can rearrange the formula to solve for the volume:

volume = mass/density

Substituting the values, we have:

volume = 1.0 kg / 2.3×10¹⁷ kg/m³ = 4.35×10⁻¹⁷ m³

A cube has all sides equal, so the volume of the cube is given by:

volume of cube = (side length)³

Substituting the volume we found, we have:

(side length)³ = 4.35×10⁻¹⁷ m³

Taking the cube root of both sides, we can solve for the side length:

side length = ∛(4.35×10⁻¹⁷ m³) ≈ 1.60×10⁻⁶ m

Therefore, the length of a side of the cube is approximately 1.60×10⁻⁶ meters.

User Ajay Yadav
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