Question

Find the volume of the three dimensional figure in terms of x

Answer 1

`V=6x^3+3x^2`

Explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

`V=(2x+1)* x* 3x\\\\V=(2x+1)* 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2`

So, the volume of the figure is equal to
`6x^3+3x^2`.