A cube made of gold (density =(19.3×10^3 kg/m^3) is 1 cm on each side find mass of the gold
The volume of the cube is given by:
V = l^3 = (0.01 m)^3 = 1.0 × 10^-6 m^3
The mass of the gold cube is given by:
m = ρV = (19.3 × 10^3 kg/m^3) × (1.0 × 10^-6 m^3) = 0.0193 kg
Therefore, the mass of the gold cube is 0.0193 kg or 19.3 grams.
To find the mass of the gold cube, we can use the formula:
Mass = Density × Volume
The given density of gold is 19.3 × 10^3 kg/m^3.
First, we need to calculate the volume of the cube.
Volume of a cube = (Side Length)^3
Given that the side length of the cube is 1 cm, we need to convert it to meters for the density unit consistency.
1 cm = 0.01 m
Now we can calculate the volume:
Volume = (0.01 m)^3 = 0.000001 m^3
Next, we can substitute the values into the formula to calculate the mass:
Mass = 19.3 × 10^3 kg/m^3 × 0.000001 m^3
Mass = 19.3 × 10^3 kg × 0.000001
Mass = 19.3 kg
Therefore, the mass of the gold cube is 19.3 kg.