Which figure cannot be made by slicing through a cube? Select two answers.

A.
a square

B.
an octagon

C.
a decagon

D.
a rectangle

E.
a triangle

Here are the answers to the whole quiz

1.
an octagon
a decagon

2. The cross-section is a triangle.

3. Slice the prism such that the plane cuts through five of the six faces.

4. a square

5. a point

6.
Yes
Yes
No
Yes

I took the quiz and these are all correct.
I hope you all get good grades!

💕Z🌼

nobody answered him for exactly a year

B. Octagon.

and C. decagon

💕Z🌼 is correct

certified hood classic mate, good job

Thanks Zee (⁠◍⁠•⁠ᴗ⁠•⁠◍⁠)

To determine which figures cannot be made by slicing through a cube, we need to understand the properties of a cube and how it can be sliced.

A cube is a three-dimensional shape with six equal square faces. When slicing through a cube, we can create various cross-sections depending on the angle and position of the slice.

Let's analyze each option to see which figures cannot be made by slicing through a cube:

A. A square: Since a cube has six square faces, slicing through a cube can easily create a square cross-section. Therefore, a square can be made by slicing through a cube. So, option A is not the correct answer.

B. An octagon: An octagon is a polygon with eight sides. When slicing through a cube, it is not possible to create an octagon as a cross-section. Therefore, an octagon cannot be made by slicing through a cube.

C. A decagon: A decagon is a polygon with ten sides. Similar to option B, slicing through a cube cannot result in a decagon cross-section. Thus, a decagon cannot be made by slicing through a cube.

D. A rectangle: A rectangle is a quadrilateral with four right angles. When slicing through a cube, it is possible to create a rectangle cross-section. Therefore, a rectangle can be made by slicing through a cube. So, option D is not the correct answer.

E. A triangle: A triangle is a polygon with three sides. Slicing through a cube can result in a triangle cross-section depending on the angle and position of the slice. Thus, a triangle can be made by slicing through a cube. So, option E is not the correct answer.

To summarize, the figures that cannot be made by slicing through a cube are:

B. An octagon

C. A decagon

You're welcome! Always happy to assist!