Question

lenny accidentally drops his matchbox car into a graduated cylinder. if the car has a mass of 10 grams and the water level in the cylinder rises from 41 ml to 46 ml. determine the density of the matchbox car. the formula for density is d = m v

Answer 1

Answer: Denisty = 2.0 g/mL

$Density =\frac{Mass}{volume}$

The mass of the matchbox is, $m = 10 g$

The volume of the cylinder = volume of water displaced in the cylinder when matchbox is immersed = final volume - initial volume.

$V=v_f-v_i=46 mL-41 mL=5.0 mL$

$Density =\frac{Mass}{volume}=\frac{10g}{5mL}=2.0g/mL$

Hence, the density of matchbox is 2.0 g/mL

Answer 2

Density formula is:
D = m / V
Volume of the matchbox car:
V = 46 ml - 41 ml = 5 ml = 0.005 l = 0.005 dm³
D = 10 g / 0.005 dm³
D = 2000 g / dm³ = 2 kg / dm³ = 2 × 10 ^(-3) kg/m³