The length, width, and height of an Aluminum block are 1.15 cm, 1.15 cm, and 2 cm respectively. The mass of the block is 6.8 grams. What is the density of the Aluminum block?

Respuesta :

Answer:

[tex]Density = 2570.89\ kg/m^3[/tex]

Explanation:

Given

Mass = 6.8 g

Dimension = 1.15 cm by 1.15 cm by 2 cm

Required

Density is calculated using the following formula:

[tex]Density = \frac{Mass}{Volume}[/tex]

Start by converting mass from grams to kilograms;

[tex]Mass = 6.8g[/tex]

[tex]Mass = 6.8 * 0.001kg[/tex]

[tex]Mass = 0.0068kg[/tex]

Volume is then calculated as follows;

[tex]Volume = 1.15cm * 1.15cm * 2cm[/tex]

Convert cm to metres

[tex]Volume = 0.0115m* 0.0115m * 0.02m[/tex]

[tex]Volume = 0.000002645m^3[/tex]

Substitute these values in the above formula;

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]Density = \frac{0.0068}{0.000002645}[/tex]

[tex]Density = 2570.88846881kg/m^3[/tex]

[tex]Density = 2570.89\ kg/m^3[/tex]  (Approximated)