Compute the density in g/cm3 of a piece of metal that has a mass of 0.345 kg and a volume of 59 cm3

density = mass/volume

Substitute and sovle.

12

To compute the density of a material, you need to divide its mass by its volume. Here's the step-by-step calculation:

Step 1: Mass
Given that the mass of the metal is 0.345 kg.

Step 2: Volume
Given that the volume of the metal is 59 cm3.

Step 3: Density Calculation
Density (ρ) = Mass (m) / Volume (V)

Substituting the given values:
Density (ρ) = 0.345 kg / 59 cm3

Step 4: Conversion
To express the density in g/cm3, you need to convert the mass from kg to grams and the volume from cm3 to cm3.

Since 1 kg = 1000 g and 1 cm3 = 1 cm3, you don't need to perform any conversions in this case.

Step 5: Final Calculation
Density (ρ) = 0.345 kg / 59 cm3
Density (ρ) = 0.345 g / 59 cm3
Density (ρ) ≈ 0.005847 g/cm3

Therefore, the density of the metal is approximately 0.005847 g/cm3.

To compute the density of the metal, you need to divide its mass by its volume. Density is defined as mass per unit volume.

The given mass of the metal is 0.345 kg, and the volume is 59 cm³.

To find the density, divide the mass by the volume:

density = mass / volume

density = 0.345 kg / 59 cm³

However, we need to convert the volume from cm³ to m³ because the mass is given in kg. There are 100 cm in 1 m, so there are (100 cm)³ = 1,000,000 cm³ in 1 m³.

volume = 59 cm³ × (1 m³ / 1,000,000 cm³)

volume = 59/1,000,000 m³

Now we can substitute the converted volume into the formula:

density = 0.345 kg / (59/1,000,000 m³)

Simplify the expression:

density = 0.345 kg / (59 × 10⁻⁶ m³)

density ≈ 5.847 kg/m³

Since we want the density in g/cm³, we can convert the result to g/cm³ by multiplying by 1000 (to convert kg to g) and dividing by 1 (since 1 m³ is equal to 1,000,000 cm³):

density ≈ (5.847 kg/m³) × (1000 g/1 kg) / (1,000,000 cm³/1 m³)

density ≈ 5.847 g/cm³

Therefore, the density of the metal is approximately 5.847 g/cm³.