avalamgdonnn avalamgdonnn
  • 24-05-2021
  • Mathematics
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Find the volume of the three dimensional figure in terms of x

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

Respuesta :

Muscardinus Muscardinus
  • 29-05-2021

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step 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,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

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