Final answer:
The density of a wood block with edge lengths of 4.00 cm and a mass of 54.5 g is calculated by dividing the mass by the volume of the block. The volume is 64.00 cm³, resulting in a density of approximately 0.852 g/cm³.
Step-by-step explanation:
To calculate the density of a wood block, we need to divide the mass of the wood block by its volume. Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³). Here, the wood block has edge lengths of 4.00 cm each, so its volume is 4.00 cm × 4.00 cm × 4.00 cm = 64.00 cm³. Given the mass of the block is 54.5 g, we use the density formula Density = Mass / Volume.
The calculation would be Density = 54.5 g / 64.00 cm³ = 0.8516 g/cm³. Rounded to three significant digits, the density of the wood block is 0.852 g/cm³.
The density of a wood block can be calculated by dividing its mass by its volume. Given that the mass of the wood block is 54.5 g and its volume can be calculated by multiplying the length of its edges (4.00 cm) cubed (4.00 cm x 4.00 cm x 4.00 cm = 64.00 cm³), we can use the formula:
Density = Mass / Volume
Substituting the values, we have:
Density = 54.5 g / 64.00 cm³
Calculating this gives us a density of approximately 0.852 g/cm³.