Question

the formula for density is $d = \frac{m}{v}$. a piece of wood has a mass of 25 kg and a volume of $0.0385\\ \text{m}^3$. what is the density of the wood?\
\
\textbf{a} $614\\ \text{kg/m}^3$\
\textbf{b} $649\\ \text{kg/m}^3$\
\textbf{c} $692\\ \text{kg/m}^3$\
\textbf{d} $653\\ \text{kg/m}^3$

Explanation:

Step1: Identify given values

Mass \( m = 25 \, \text{kg} \), Volume \( V = 0.0385 \, \text{m}^3 \)

Step2: Apply density formula

Density \( d=\frac{m}{V} \), substitute values: \( d = \frac{25}{0.0385} \)

Step3: Calculate the division

\( \frac{25}{0.0385} \approx 649.35 \, \text{kg/m}^3 \), closest to \( 649 \, \text{kg/m}^3 \)

Answer:

b. 649 kg/m³