Question

a sample of iron has the dimensions of 2 cm x 3 cm x 2 cm. if the mass of this rectangular - shaped object is 94 g, what is the density of iron?

Explanation:

Step1: Calculate the volume of the rectangular - shaped object

The volume formula for a rectangular prism is $V = l\times w\times h$. Given $l = 2$ cm, $w = 3$ cm, and $h = 2$ cm. So $V=2\times3\times2 = 12$ $cm^{3}$.

Step2: Calculate the density

The density formula is $
ho=\frac{m}{V}$, where $m = 94$ g and $V = 12$ $cm^{3}$. So $
ho=\frac{94}{12}\approx7.83$ g/$cm^{3}$.

Answer:

$7.83$ g/$cm^{3}$