Question

If a sample of gold is a cube what is the length of each edge in centimeters

Answer 1

To find the edge length of a cube made of gold, divide the mass of the gold sample by its density and take the cube root of the result.

Step-by-step explanation:

The edge length of a sample of gold, if it is in the form of a cube, can be determined using the concept of density. The density of gold is 19.3 g/cm³. To find the edge length, we need to divide the mass of the gold sample by its density. For example, if the mass of the gold sample is 10 grams, the volume is 10 g / 19.3 g/cm³ = 0.52 cm³. Since the sample is a cube, all three dimensions are equal, so the edge length would be the cube root of the volume. In this case, the edge length would be approximately 0.8 cm.

Answer 2

This question cannot be answered in actual centimeters unless at least one edge has a known length however it can be written as (length^3) or (length cubed). As an example if the sample of gold cube had one length of 3cm then all lengths would be 3cm on the cube.