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Student Question

Grade 3 • 8mo.

Hello again,

I know these are two different figures but I don't understand why or if a cube can be a square based prism. Thank you

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 • 8mo.

    Hello to you!

    Good question!

    A prism is a polyhedron with bases (isometric and parallel faces) and side faces (quadrilaterals).

    The cube is a solid formed of 6 identical faces (squares). As for the square-based prism , it has two square bases and rectangles as side faces.

    The definition of a rectangle is the following : quadrilateral with 4 square 90 degrees angles. 

    So, based on these definitions, the cube is considered to be a particular square-based prism!

    Looking forward to helping you again :D