# A piece of white pine wood has a density of "430 kg/m"^3. What is the mass of "50 m"^3 of this wood?

Feb 19, 2018

$\text{21500 kg}$ or $2.15 \cdot {10}^{4}$ $\text{kg}$

#### Explanation:

Since

Density $= \text{Mass"/"Volume}$

use

$\text{Mass" = "Density" xx "Volume}$

Here

• ${\text{Density" = "430 kg/m}}^{3}$
• ${\text{Volume" = "50 m}}^{3}$

So

${\text{Mass" = "430 kg/m"^3 * "50 m}}^{3}$

$\text{= 21500 kg} = 2.15 \cdot {10}^{4}$ $\text{kg}$

Feb 19, 2018

$21500 \setminus \text{kg}$

#### Explanation:

Density is given by the equation

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

where $m$ is the mass of the object, $V$ is the volume of the object

Arranging for $m$, we get

$m = \rho \times V$

We have: $\rho = {\text{430 kg/""m}}^{3}$, $V = {\text{50m}}^{3}$

$\therefore m = \text{430 kg/"cancel("m"^3)*50cancel("m"^3)=21500 \ "kg}$