A block of gold having dimension of 1.2 m long, 0.8 m width and 0.4 m thick. What is the mass of the block?
L = 120 cm, W = 80 cm, h = 40 cm.
V = 120*80*40 = 384,000 cm^3.
M = V*D = 384,000cm^3 * 19.3g/cm^3 = 7.41*10^6 g = 7410 kg.
To calculate the mass of the gold block, you need to know its density. Density is the amount of mass contained in a unit volume of a substance.
The density of gold is approximately 19,300 kilograms per cubic meter (kg/m³).
To calculate the mass of the gold block, you can use the formula:
Mass = Volume × Density
First, calculate the volume of the gold block:
Volume = Length × Width × Thickness
Volume = 1.2 m × 0.8 m × 0.4 m
Volume = 0.384 cubic meters (m³)
Now, use the density and volume to find the mass:
Mass = 0.384 m³ × 19,300 kg/m³
Mass = 7,411.2 kilograms (kg)
Therefore, the mass of the gold block is approximately 7,411.2 kilograms.