Question

A cube has a length of 3.8 cm. When the cube was dried (so no water was measured), it had a mass of 262.1. What is the density of the block? (round to nearest hundredth, no units)

Answer 1

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).