- A rectangular box of \( 2 \mathrm{~cm}^{\wedge} 3 \) has a mass of 4000 kg , Calculate the density

To find the density of the rectangular box, you first need to understand that density is calculated using the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}}. \] Given the mass of the box is 4000 kg and the volume is \( 2 \mathrm{~cm}^3 \) (which is 2 cubic centimeters), you can calculate the density as follows: \[ \text{Density} = \frac{4000 \text{ kg}}{2 \text{ cm}^3} = 2000 \text{ kg/cm}^3. \] In SI units, this density equals \( 2 \times 10^6 \text{ kg/m}^3 \) since \( 1 \text{ cm}^3 = 1 \times 10^{-6} \text{ m}^3 \). Now, let's sprinkle some fun facts into the mix! The density of materials can tell you a lot about them. For instance, the density of materials like aluminum is around \( 2700 \text{ kg/m}^3 \), while that of lead is about \( 11340 \text{ kg/m}^3 \). So, your box is quite dense—hugging that 4000 kg in such a small volume tightens the competition! And in the real world, understanding density is crucial for a myriad of applications. Engineers use it when designing structures to ensure they can handle loads without collapsing. In the field of materials science, researchers explore density when developing new substances for everything from lightweight aerospace components to heavy-duty construction materials. So, your exploration of density might just lead you to the next big invention!