Question

The volume of a rectangular prism is `(100x^16y^12z^2)`. If the length of the prism is `4x^2y^2` and its width is `(5x^8y^7z^-2)`, how do you find the height of the prism y?

Answer 1

`5x^6y^3z^4`

Explanation:

width*length
`(4x^2y^2)(5x^8y^7z^-2)`
`=20x^10y^9z^-2`
height=volume÷width multiplied by length
`(100x^16y^12z^2)/(20x^10y^9z^-2`
`=5x^6y^3z^4`=h
check
Volume=width multiplied by length multiplied by height
`(5x^8y^7z^-2)(4x^2y^2)(5x^6y^3z^4)`
`= 100x^16y^12z^2`