Let's solve the problem step-by-step: **Question translation:** A cube has a mass of 5.74 g and occupies a volume of 1.2 cm³. Express the density (g/cm³) with the correct number of significant figures. --- ### Step 1: Write the formula for density Density = Mass / Volume ### Step 2: Substitute the values Mass = 5.74 g Volume = 1.2 cm³ \[ \text{Density} = \frac{5.74}{1.2} \] ### Step 3: Calculate the density \[ \text{Density} = \frac{5.74}{1.2} = 4.7833\ldots \] ### Step 4: Significant figures - 5.74 has **3 significant figures** - 1.2 has **2 significant figures** The answer should be reported with the **least number of significant figures**, which is **2**. ### Step 5: Round the answer The first two digits are 4.7, but the next digit is 8, so we round up. So, \[ \text{Density} = 4.8 \;\mathrm{g/cm^3} \] --- ### **Final Answer:** **4.8 g/cm³** This matches **option 3 (4.8)** in the choices provided. --- **Explanation in Hindi:** - द्रव्यमान = 5.74 g (3 significant figures) - आयतन = 1.2 cm³ (2 significant figures) - घनत्व = द्रव्यमान / आयतन = 5.74 / 1.2 = 4.7833... - सही अंक = 2 (क्योंकि आयतन में सबसे कम 2 significant figures हैं) - घनत्व = 4.8 g/cm³ (2 significant figures में) **सही उत्तर:** 4.8 g/cm³ (Option 3)