Question

A rectangular block of copper metal weighs 2695 g. The dimensions of the block are 4.8 cm by 5.5 cm by 6.4 cm. From this data, what is the density of copper? (Hint: Remember that volume = length x width x height)

Answer 1

Given parameters:

Mass of rectangular block of copper metal  = 2695g

Dimensions of the block  = 4.8cm x 5.5cm x 6.4cm

Unknown;

Density of the copper = ?

To solve this problem, we apply the density formula.

Density is an intensive property of all matter. It is defined as the mass per unit volume of any substance.

Mathematically,

              Density  = $\frac{Mass}{Volume}$

The unit is usually in kg/m³ or g/cm³

Now, we need to derive the volume since mass is given already.

  Volume of the rectangular block = length x width x height

                                                          = 4.8cm x 5.5cm x 6.4cm

                                                           = 168.96cm³

Let's solve for the density now;

  input the parameters and solve;

              Density of rectangular copper block  = $\frac{2695}{168.96}$

                                                                             = 15.95g/cm³

The density of the copper rectangular block is 15.95g/cm³