Question #8309b

1 Answer
Feb 22, 2016

Answer:

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#