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Answer :
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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