Answer:
To find the density of the cube, we'll use the formula:
Density = Mass / Volume
Since the cube has equal length, width, and height, the volume of the cube can be calculated by cubing the length:
Volume = Length^3
Given that the length of the cube is 3.8 cm, we can calculate the volume:
Volume = 3.8^3 = 54.872 cm^3 (rounded to three decimal places)
Next, we'll divide the mass of the cube (262.1) by its volume (54.872) to find the density:
Density = 262.1 / 54.872 ≈ 4.77
Rounded to the nearest hundredth, the density of the cube is approximately 4.77 (no units were specified in the question).