Final answer:
The density of the pine wood block is calculated by dividing its mass (27g) by its volume (64 cm³), resulting in a density of 0.421875 g/cm³.
Step-by-step explanation:
The question is asking to calculate the density of a pine wood block with the given mass and dimensions. Density is the mass per unit volume of a material. To find the density of the block, we need to divide the mass of the block by its volume.
The block has a mass of 27 grams (g) and since it measures 4.0 centimeters (cm) on each side, its volume is:
- Volume = side length ³ = 4.0 cm × 4.0 cm × 4.0 cm = 64.0 cubic centimeters (cm³).
Now, we can calculate the density using the formula:
- Density = mass/volume = 27 g / 64 cm³ = 0.421875 g/cm³.
Therefore, the density of the pine wood block is 0.421875 g/cm³.