Question

Find the volume of a cube that has the following dimensions: Length =3x^2, Width =x^3, Height=x^2 -8x+7

Answer 1

Answer:
`3(x^(7)-8x^(6)+7x^(5))`

Explanation:

The volume
`V` of a cube is given by the following equation:

`V=(length)(width)(height)`

Where:

`length=3x^(2)`

`width=x^(3)`

`height=x^(2)-8x+7`

Rewriting the equation with the given values:

`V=(3x^(2))(x^(3))(x^(2)-8x+7)`

Solving:

`V=3(x^(7)-8x^(6)+7x^(5))` This is the volume of the cube in terms of
`x`