Question #8309b

Question

4432 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-22T02:06:19

The density of the metallic block is $"7.34 g/cm"^3$ .

The formula for density is

$"density" = "mass"/"volume"$

In symbols, the formula is

$ρ = m/V$

If we calculate the mass and the volume, we can calculate the density.

$m = 0.150 color(red)(cancel(color(black)("kg"))) × "1000 g"/(1 color(red)(cancel(color(black)("kg")))) = "150 g"$

$V = lwh = "25.0 mm × 43.0 mm × 19.0 mm" = "20 425 mm"^3$

To convert this volume to cubic centimetres, we use the fact that $"10 mm = 1 cm"$ .

Hence, $20 425 color(red)(cancel(color(black)("mm"^3))) × ("1 cm"/(10 color(red)(cancel(color(black)("mm")))))^3 = "20.425 cm"^3$

Now we can calculate the density:

$ρ = m/V = "150 g"/("20.425 cm"^3) = "7.34 g/cm"^3$