Question

A block of metal has a volume of 13.2 in3 and weighs 5.30 lb,What is its density in grams per cubic centimeter?

Answer 1

Density = Mass/Volume

d = 5.30/13.2

Answer 2

Answer: The density of metal is $11.16g/cm^3$

Explanation:

To calculate volume of a substance, we use the equation:

$\text{Density of a substance}=\frac{\text{Mass of a substance}}{\text{Volume of a substance}}$

We are given:

Mass of metal = 5.30 lb = 2406.2 g   (Conversion factor:  1 lb = 454 g)

Volume of metal = $13.2in^3=215.69cm^3$     (Conversion factor:  $1in^3=16.34cm^3$ )

Putting values in above equation, we get:

$\text{Density of metal}=\frac{2406.2g}{215.69cm^3}\\\\\text{Density of metal}=11.16g/cm^3$

Hence, the density of metal is $11.16g/cm^3$