Investigate if one 3D object is made of a cube and a square based triangular based prism (with a base of a cube) put together ( two faces must touch exactly) and another made of a cube and square based pyramid ( two faces must touch exactly) will have: (a) The same number of faces? ; (b) The same shape of faces?
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a) Yes, both shapes have 9 faces.
b) The cube with a square based prism on top has 5 faces that are squares, 2 faces that are triangles and 2 faces that are rectangle.
The cube with a square based pyramid on top will have 4 faces that are triangles and 5 faces that are squares.
These sketches should help you see the faces:
Attachments:
cmtedit:
sketch.jpg
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