Answer:
d.8.63 g/ml
Step-by-step explanation:
Hello
In physics the density is a scalar magnitude referred to the amount of mass in a given volume of a substance or a solid object.it is given by:
\(density =\frac{mass\ of\ the\ object}{volume\ of\ the\ object} \\\)
Step 1
Find the volume of the object
According to the question
(Eq1)Volume of water=48.4 ml.
(Eq2)Volume of water+volume of the solid=62.7 ml
(Eq3)Mass of the object = 123.4 g
Now, from (Eq2) find volume of the solid
(Eq2)Volume of water+volume of the solid=62.7 ml
subtract volume of water on both sides
Volume of water+volume of the solid-Volume of water=62.7 ml-Volume of water
hence
(Eq4)volume of the solid=62.7 ml-Volume of water
Now, put (Eq1) into (Eq4)
volume of the solid=62.7 ml-48.4 ml
volume of the solid=14.3 ml
Step 2
put the values into the equation
\(density =\frac{mass\ of\ the\ object}{volume\ of\ the\ object} \\d=\frac{123.4 \ g}{14.3 \ ml} \\d=8.62937 \frac{g}{ml} \\ approximates\\d=8.63 g/ml\)
d=8.63 g/ml
in fact, answer b is not wrong since
\(1 ml=1 cm^{3}\)
Have a good day
