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Secondary II • 17d

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 • 16d

    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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