Question

Question #8309b

Answer 1

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

Explanation:

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`