Question

A golden-colored cube is handed to you. The person wants you to buy it for 60 thousand, saying that it is a gold nugget. You pull out your old geology text and look up gold in the mineral table, and read that its density is 19.3g/cm​.You measure the cube and find that it is 2 cm on each side, and weighs 40 g. What is its density? Is it gold? Should you buy it?

Answer 1

Answer:

Explanation:

Volume of cube=side³

=2*2*2

=8 cm³

Mass of cube=40g

Its density=mass/volume

=5g/cm³

which differs the value given in the text hence it is not gold and u shld not bye it...

Instead u shld call the police for arresting the person...

Answer 2

Answer:

The density of the cube is $5$ $gm/cm^{3}$. The cube is not gold so I will not buy it.

Explanation:

• The mass of the object divided by its volume gives the density of the object.
• We can check the purity of a substance by comparing its density with the density of pure material.

The formula used for density is given by:

$D=\frac{M}{V}$

where $M=$ the mass of the object.

            $V=$ object volume.

Step 1:

Given the cube of side $s= 2cm$.

The volume of the cube, $V= s*s*s$

                                            $= 2*2*2$  $cm^{3}$

                                            $=8$  $cm^{3}$

Density of cube $=(\frac{40 }{8 } } )$ $gm/cm^{3}$

                          $=5$ $gm/cm^{3}$

Step 2:

The gold has a density $=19.3$ $gm/cm^{3}$

So, cube density is less than that of gold.

Hence, the cube is not of gold. I will not buy it.