Give step-by-step solution with explanation and final answer:
Engineering Materials in Mechanical Engineering - Concept Based Questions

A metal specimen has a mass of 15.6 kg and a volume of 0.002 m

Question

Give step-by-step solution with explanation and final answer:
Engineering Materials in Mechanical Engineering - Concept Based Questions

A metal specimen has a mass of 15.6 kg and a volume of 0.002 m ^3. Calculate the density of the material.

VIPSolutions · Accepted Answer

# Step-by-Step Solution: Density Calculation

## Given Data

- **Mass of specimen ($ m $)**: 15.6 kg  
- **Volume of specimen ($ V $)**: .002 m³

## Formula for Density

Density ($ \rho $) is defined as:

$$
\rho = \frac{m}{V}
$$

where  
$\rho$ = density (kg/m³)  
$m$ = mass (kg)  
$V$ = volume (m³)

## Substitute the Values

$$
\rho = \frac{15.6 \,\text{kg}}{.002 \,\text{m}^3}
$$

## Perform the Calculation

$$
\rho = \frac{15.6}{.002}
$$
$$
\rho = 780 \;\text{kg/m}^3
$$

## Final Answer

**The density of the material is $\boxed{780\;\text{kg/m}^3}$.**

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