An open rectangular box measures extrenally 32cm long 27cm wide and15 cm deep .The box is made up of metal 1cm thick .if it has a mass of 1.5kg . what is the density of the box to 4 significant figures
To find the volume of the box, we need to subtract the volume of the inner box (32cm - 2*1cm) x (27cm - 2*1cm) x (15cm - 2*1cm):
(32cm - 2cm) x (27cm - 2cm) x (15cm - 2cm) = 30cm x 25cm x 13cm = 9750 cm^3
To find the density, we divide the mass (1.5kg) by the volume (9750 cm^3):
density = mass/volume = 1.5kg / 9750 cm^3 = 0.00015 kg/cm^3
Since we want the density to 4 significant figures, we round the answer to 0.0002 kg/cm^3.