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A block of metal with volume 15 m³ 3 and density 8,800 kg/m³ is combined with another metal of 3 mass 850 kg and volume 6.2 m³ to form an alloy. What is the density of the alloy to the nearest integer?​

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Answer:

Explanation:

The total mass of the alloy is the sum of the masses of the two metals:

mass = density x volume = (8800 kg/m³ x 15 m³) + 850 kg = 132,000 kg + 850 kg = 132,850 kg

The total volume of the alloy is the sum of the volumes of the two metals:

volume = 15 m³ + 6.2 m³ = 21.2 m³

Therefore, the density of the alloy is:

density = mass / volume = 132,850 kg / 21.2 m³ ≈ 6266 kg/m³

Rounding to the nearest integer, the density of the alloy is 6266 kg/m³.

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