Question

The object on the right is made from a square based pyramid...

Answer 1

`7.81\ g/cm^3`

Explanation:

step 1

Find the volume of the cuboid

The volume is equal to

`V=(6^2)(9)=324\ cm^3`

step 2

Find the mass of the cuboid

Remember that

The density is equal to divide the mass by the volume

so

The mass is equal to multiply the volume by the density

`m=(324)(0.68)=220.32\ g`

step 3

Find the mass of the square base pyramid

subtract the mass of the cuboid from the total mass

`970-220.32=749.68\ g`

step 4

Find the volume of the pyramid

The volume is equal to

`V=(1)/(3)(6^2)(8)= 96\ cm^3`

step 5

Find the density of the steel (pyramid)

divide the mass of the pyramid by the volume of the pyramid

`749.68/96=7.81\ g/cm^3`