Question

A sample of iron has the same dimensions of 2cm x 3cm x 2cm. If the mass of the rectangular-shaped object is 94g, what is the density of iron?

Answer 1

The density of an object can be calculated using the formula:

`\text{Density} = \frac{\text{Mass}}{\text{Volume}}`

Given that the mass of the iron sample is 94g and the dimensions are 2cm x 3cm x 2cm, we can calculate the volume of the sample as follows:

`\text{Volume} = \text{length} * \text{width} * \text{height} = 2\, \text{cm} * 3\, \text{cm} * 2\, \text{cm} = 12\, \text{cm}^3`

Substituting the given mass and calculated volume into the density formula, we get:

`\text{Density} = \frac{94\, \text{g}}{12\, \text{cm}^3} \approx 7.83\, \text{g/cm}^3`

So, the density of the given iron sample is approximately 7.83 g/cm³.