Question

Help me please!!

The density of pure iron is 7.874 g/cm3 . A piece of steel made of pure iron and other types of iron is in the shape of a rectangular pyramid. The rectangular pyramid has a base edge length of 4 cm , a base edge width of 9 cm , a height of 5 cm , and a mass of 425 g . What is the difference between the density of pure iron and the density of the steel rectangular pyramid? Round your answer to the nearest thousandth.

Answer 1

"5.5129 g/cm³" is the appropriate solution.

Explanation:

According to the question, the values are:

Iron's density,

= 7.874 g/cm³

Base edge length,

= 4 cm

Base edge width,

= 9 cm

Height,

= 5 cm

Mass,

= 425 g

As we know,

The Density of rectangular pyramid will be:

=
`(Mass)/(Volume)`

or,

=
`(Mass)/(Length* Width* height)`

On putting all the given values, we get

=
`(425)/(4* 9* 5)`

=
`(425)/(180)`

=
`2.3611 \ g/cm^3`

hence,

The difference will be:

=
`7.874-2.3611`

=
`5.5129 \ g/cm^3`