the density of a piece of wood is 0.638 g/cm3. The dimensions of the block of wood are 40.0 cm by 50.0 cm by 25.0 cm. What is the mass of the block of wood? Show all calculations.
volume = 40.0 cm x 25.0 cm x 50.0 = ??
mass = volume x density.
To find the mass of the block of wood, we can use the formula:
mass (m) = density (ρ) × volume (V)
First, let's calculate the volume of the block of wood using the given dimensions:
Volume (V) = length (L) × width (W) × height (H)
Given:
Length (L) = 40.0 cm
Width (W) = 50.0 cm
Height (H) = 25.0 cm
V = 40.0 cm × 50.0 cm × 25.0 cm
V = 50000 cm^3
Now, we can substitute the given density (ρ) and the calculated volume (V) into the formula to find the mass (m):
m = ρ × V
m = 0.638 g/cm^3 × 50000 cm^3
m = 31900 g
Therefore, the mass of the block of wood is 31900 grams.