Question

A block has dimensions of 4.5 cm by 4.2 cm by 4.0cm. The block has a mass of 371 g. From this information, calculate the density and specific gravity

Answer 1

Note that:

• Density = $\frac{mass}{volume}$

• Specific gravity = $\frac{Density_{object} }{Density_{water} }$

Givens

• dimensions of object

• mass of object

Solving

To find density, you need volume.

Volume

Volume = length * width * height

Volume = 4.5 cm * 4.2 cm * 4.0 cm

Volume = 76 cm³

Density

Density = $\frac{371 g}{76cm^{3} }$

Density = 4.9 g/cm³

Specific gravity

The density of water is approximately 1 g/cm³.

Specific gravity = $\frac{4.9g/cm^{3} }{1g/cm^{3} }$

Specific gravity = 4.9

Answer:

Density: 4.9 g/cm³

Specific gravity: 4.9