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Secondary II • 4mo.

Can you also help me find the volume of this shape, PLZ?

IMG_20251117_201847.jpg


Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 3mo.

    Hi!


    To find the volume of this solid, you need to find the volume of the entire prism, then subtract the volume of the cube that was removed.

    Total solid volume = Prism volume - Cube volume


    Here are the volume formulas you'll need:

    {046CFAF1-2AA2-457B-833F-46BB97BF205D}.png


    By inserting these formulas into our equation, we get:

    Total solid volume = Prism volume - Cube volume

    Total solid volume = \((A_{b}\times h ) - (c^3)\)


    We can now insert the known values ​​into our equation.

    {46C8F179-3FF7-4674-A401-69BFBA4B3FF4}.png

    Which gives us :

    Total solid volume = \(((6\times 4)\times 1 ) - (2^3)\)


    I'll let you complete. I hope this helps! If you have any other questions, feel free to write to us again! :)

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