To determine the density of a wooden block in the shape of a cube, we need to follow these steps:
1. Calculate the volume of the cube:
- The formula for the volume [tex]\( V \)[/tex] of a cube is given by:
[tex]\[
V = \text{side length}^3
\][/tex]
- The side length of the cube is 0.3 meters.
- Therefore, the volume [tex]\( V \)[/tex] is:
[tex]\[
V = (0.3)^3 = 0.027 \text{ cubic meters}
\][/tex]
2. Use the mass of the block to find the density:
- The formula for density [tex]\( \rho \)[/tex] is given by:
[tex]\[
\rho = \frac{\text{mass}}{\text{volume}}
\][/tex]
- The mass of the block is 18.954 kg.
- The volume of the block we have calculated is 0.027 cubic meters.
- Therefore, the density [tex]\( \rho \)[/tex] is:
[tex]\[
\rho = \frac{18.954 \text{ kg}}{0.027 \text{ m}^3} \approx 702 \text{ kg/m}^3
\][/tex]
Hence, the density of the wooden block is [tex]\( 702 \text{ kg/m}^3 \)[/tex].
