Question

. The child’s physical density is being measured by the displacement method. A child of 50 pounds is placed in a tub filled with water, and the water that comes out of the tub goes into another small tub that measures 40 cm long, 30 cm wide, and 60 cm deep. The water level in the small tub is 18 cm high. Find the density of a child in gm/cm3 to the nearest hundredth. (Hint: density = mass/volume; 1 pound = 454 grams)

Answer 1

1.05 g/cm³

Explanation:

The mass of the child is ...

(50 lb)(454 g/lb) = 22,700 g

The volume displaced is ...

(40 cm)(30 cm)(18 cm) = 21,600 cm³

Then the density of the child is ...

mass/volume = 22700 g/(21600 cm³) ≈ 1.05 g/cm³