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------------------------------------------------ One component of a metal sculpture consists of a solid uniform cube with an edge length of 39.1 cm. The alloy used to make the cube has a density of 7670 kg/m³. Determine the cube's mass.

Answer :

The mass of the cube is approximately 460.2 kg.

Use the formula for mass based on density and volume:

mass = density × volume

Step 1: Calculate the Volume of the Cube

The volume of a cube can be calculated using the formula:

volume = edge length³

Given that the edge length of the cube is 39.1 cm, we need to convert it to meters to match the density units.

39.1 cm = 0.391 m

Now, calculate the volume:

volume = (0.391 m)³ = 0.0600 m³

Step 2: Use the Given Density to Calculate the Mass

The density of the alloy is given as 7670 kg/m³. Now, we can substitute the values into the mass formula:

mass = 7670 kg/m³ × 0.0600 m³

Step 3: Calculate the Mass

mass = 460.2 kg

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