**Calculating the Density of Wood**

To calculate the density of the wooden cube, we need to use the formula for density:

Density = Mass / Volume

In this case, we are given the mass of the wooden cube as 87.5g. However, we need to find the volume of the cube before we can calculate its density.

**Finding the Volume of the Wooden Cube**

The volume of a cube can be calculated using the formula:

Volume = Side³

In this case, the side length of the cube is given as 5cm. Therefore, we can substitute this value into the formula:

Volume = 5cm × 5cm × 5cm = 125cm³

So, the volume of the wooden cube is 125cm³.

**Calculating the Density**

Now that we have both the mass and volume of the wooden cube, we can calculate its density using the formula:

Density = Mass / Volume

Substituting the given values:

Density = 87.5g / 125cm³

To ensure consistent units, we need to convert the volume from cm³ to m³. Since 1m = 100cm, 1m³ = (100cm)³ = 1,000,000cm³. Therefore, 1cm³ = 1/1,000,000m³.

Converting the volume:

Volume = 125cm³ × (1/1,000,000m³/cm³) = 0.000125m³

Substituting the converted volume into the density formula:

Density = 87.5g / 0.000125m³

Simplifying the equation:

Density = 87.5g / 0.000125m³ = 700,000g/m³

Thus, the density of the wood is 700,000g/m³.

**Conclusion**

The density of the wooden cube with a side length of 5cm and a mass of 87.5g is calculated to be 700,000g/m³. Density is a measure of how much mass is contained within a given volume, and in this case, the wood is relatively dense.