Question

the child's physical density is being measured by the displacement method. A child of 50 pounds is place in a tub filled with water, and the water that comes out of the tub goes in to another small tub that measures 40 cm long, 30 cm wide, and 60 cm deep. the water level in the small is 18 cm high. find the density of the child's in gn/cm^3 to the nearest hundredth. (hint: density=mass/volume; 1 pound= 454 grams

Answer 1

• 1.05 g/cm³

Step-by-step explanation:

Given: density = mass/volume

Hence, child density = child mass / child volume

Child mass:

• Convert 50 pounds to grams{ 50 pound × 454 g / pound = 22,700g

Child volume:

• As per Archimide's principle the volume of the child is equal to the volume of water displaced when he/she is submerged.

• Volume of displaced water = volume of water in the small tub = length × widht × height = 40 cm × 30 cm × 18 cm = 21,600 cm³

Child density:

• child density = 22,700 g / 21,600 g = 1.05 g/cm³