GabbyMarie
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Misha has a cube and a right-square pyramid that are made of clay. She placed both clay figures on a flat surface. Misha will make slices through each figure that are parallel and perpendicular to the flat surface. Which statements are true about the two-dimensional plane sections that could result from one of these slices? Select all that apply.

A plane section that is triangular could result from one of these slices through the cube.

A plane section that is square could result from one of these slices through the cube.

A plane section that is rectangular but not square could result from one of these slices through the cube.

A plane section that is triangular could result from one of these slices through the pyramid.

A plane section that is square could result from one of these slices through the pyramid.

A plane section that is rectangular but not square could result from one of these slices through the pyramid.

Respuesta :

I took the quiz the answer is A,B,D,E
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Answer:

The true statements are 2, 4 and 5.

Step-by-step explanation:

We are given that,

Misha have clay figures resembling a cube and a right-square pyramid.

Now, parallel and perpendicular slices are made both parallel and perpendicular to the base to both the figures.

So, the resulting 2-D cross-sections are given by,

                                              Cube                 Right-square pyramid

Parallel to base                    Square                         Square

Perpendicular to base         Square                         Triangle

Thus, according to the above table, we have,

The statements which are true are,

2. A plane section that is square could result from one of these slices through the cube.  

4. A plane section that is triangular could result from one of these slices through the pyramid.  

5. A plane section that is square could result from one of these slices through the pyramid.  

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