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[tex]\color{green}{\displaystyle \rule{200pt}{1pt}} \\\tiny{\begin{gathered}\textsf{Given problem:} \\\text{The stone has a density of 2.1 g/cm³.} \\\text{Find the mass of the cuboid.} \\\text{Length of the cuboid} = 7 \text{ cm} \\\text{Width of the cuboid} = 33 \text{ cm} \\\text{Height of the cuboid} = 22 \text{ cm} \\\textsf{Step 1: Calculate the volume of the cuboid.} \\\text{The volume of a cuboid is given by the formula:} \\\text{Volume} = \text{length} × \text{width} × \text{height} \\\text{Volume} = 7 × 33 × 22 \\\text{Volume} = 5082 \text{ cm}³ \\\textsf{Step 2: Use the density formula to find the mass.} \\\text{The density formula is:} \\\text{Density} = \frac{\text{mass}}{\text{volume}} \\\text{We can rearrange this formula to find the mass:} \\\text{mass} = \text{density} × \text{volume} \\\text{Given that the density is 2.1 g/cm³ and the volume is 5082 cm³,} \\\text{we can calculate the mass as follows:} \\\text{mass} = 2.1 × 5082 \\\text{mass} = 10680.2 \text{ g} \\\textsf{Step 3: Convert grams to kilograms.} \\\text{Since } 1 \text{ kg} = 1000 \text{ g}, \text{ we can convert grams to kilograms by dividing by 1000:} \\\text{mass in kg} = \frac{10680.2}{1000} \\\text{mass in kg} \approx 10.68 \text{ kg} \\\textsf{Therefore, the mass of the cuboid is approximately } 10.68 \text{ kg.} \\\color{green}{\displaystyle \rule{200pt}{1pt}}\end{gathered}}[/tex]
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