Question

Calculate the density of a solid with the following data:

Answer 1

It would be c.8.6291036592g/ml

Answer 2

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