What mass does a cube with a surface area of 150 square cm have if the density

What mass does a cube with a surface area of 150 square cm have if the density of the substance from which it is made is equal to 2700 kg. per cubic meter.

The mass of a cube can be calculated using the formula:
m = ρ * V, where ρ is the density of the substance of which the cube consists (ρ = 2700 kg / m ^ 3), V is the volume of the cube.
We find the volume of the cube using the value of the surface area of the cube.
S = 6h ^ 2, where h is the length of the edge of the cube.
h = sqrt (S / 6) = sqrt (150/6) = sqrt (25) = 5 cm = 0.05 m.
V = h ^ 3 = 0.05 ^ 3 = 125 * 10 ^ -6 m ^ 3.
Let’s calculate the mass of the cube:
m = ρ * V = 2700 * 125 * 10 ^ -6 = 0.3375 kg = 337.5 g.
Answer: The mass of the cube is 337.5 g.



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