Iceberg Mass Calculation: How much mass does the iceberg have in kg?

What is the mass of an iceberg with a volume of 783 m3 and a density of ice equal to 0.917 g/cm3?

The mass of the iceberg can be calculated by multiplying the volume and density of ice. Let's break down the calculation step by step:

Step 1:

Given data: Volume of the iceberg (V): 783 m³ Density of ice (ρ): 0.917 g/cm³

Step 2:

Convert "V" to cm³ We will use the relationship 1 m³ = 10⁶ cm³. 783 m³ × (10⁶ cm³/1 m³) = 7.83 × 10⁸ cm³

Step 3:

Calculate the mass (m) of the iceberg We will use the expression ρ = m/V m = ρ × V m = 0.917 g/cm³ × 7.83 × 10⁸ cm³ m = 7.18 × 10⁸ g

Step 4:

Convert "m" to kg We will use the relationship 1 kg = 10³ g. 7.18 × 10⁸ g × (1 kg/10³ g) = 7.18 × 10⁵ kg Therefore, the mass of the iceberg is 7.18 × 10⁵ kg.
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