density=g/cm3
The density of Gold is 19.3g/cm3
The density of Fool's Gold (pyrite) is 5g/cm3 The question is slightly ambiguous as first written so two calculations are given: # 100/15= 6.666g/cm3
So this nugget is possibly pyrite and not gold. 100/5= 20g/cm3
So this nugget is possibly gold.
The volume of the water in Beaker X will be 100cm3, as you are not adding any more water to the equation (50X+100Y is not 150Y or X, but 50X+100Y) The total volume of matter in Beaker X will be 150cm3, and if the beaker is labelled, the volume measure will indicate 150cm3 due to the displacement of water. But as the answer to your question, the volume of water in Beaker X must be 100cm3 even though visual indicators will not show this due to the displacement of water by marbles
150 cm3 = 150 mL
Multiply all three dimensions, including the centimeters. 3cm x 5cm x 10cm = 150cm3.
150 cm3 - A cc (cubic centimeter, cm3) and a mL (milliliter) are equal to each other in terms of volume.
13.534 gram per cubic centimeter is the mercury density Accordingly, 150 cubic cm mercury = 150/13.534 gram = 11.0832 grams of mercury. Assuming fresh water at room temperature of density 1 gm/cubic centimeter, then water volume is 11.0832/1 = 11.0832 cubic cm.