Find the density, in g/cm3, of a metal cube with a mass of 53.9g and an edge length ( l ) of 2.60cm . For a cube, V=l3 .

Question

Express your answer to three significant figures and include the appropriate units.

 

can someone please show me step by step how you're solving this.. followed by the answer?

 

I'm stuggling with this.

 

Answer 1

The volume (V) of a cube = L³ where L is the length of one side

 

In this case, L = 2.60cm; thus V = 2.60cm · 2.60cm · 2.60cm = 17.576cm³

 

Density = mass per unit volume = m/V = 53.9g/17.576cm³ = 3.015g/cm³

 

While I gave the answer to three decimal places as you requested, the rules for significant figures state that an answer can have no more decimal places than the least accurate figure, which, in this case, is 53.9g. So, the answer should have only one decimal place.