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One component of a metal sculpture consists of a solid cube with an edge of length 36.3 cm . the alloy used to make the cube has a density of 8190 kg/m3 . find the cube's mass.

User Elirandav
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1 Answer

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The mass of the cube is 396.55 kg.

To find the mass of the cube, we can use the formula:

mass = density × volume

First, we need to find the volume of the cube. The volume of a cube is given by the formula:

volume = edge length^3

Plugging in the given edge length of 36.3 cm, we get:

volume = (36.3 cm)^3

Calculating this, we find:

volume = 48,428.47 cm^3

Since the density is given in kg/m^3, we need to convert the volume to m^3. There are 1,000,000 cm^3 in 1 m^3, so:

volume

= 48,428.47 cm^3 ÷ 1,000,000 cm^3/m^3

= 0.04842847 m^3

Now we can calculate the mass:

mass = 8190 kg/m^3 × 0.04842847 m^3

Calculating this, we find:

mass = 396.55 kg

Therefore, the mass of the cube is 396.55 kg.

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User Kaerdan
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