### Break Down the Problem
1. Identify the geometric properties of a cube.
2. Understand how slicing a cube through a face parallelly impacts its cross-section.

### Relevant Concepts
- A cube is a three-dimensional shape with six equal square faces.
- Slicing a three-dimensional shape (like a cube) through a plane that is parallel to one of its faces will produce a two-dimensional shape that is congruent to the face being sliced.

### Analysis and Detail
1. When you slice a cube parallel to one of its faces, you are creating a cross-section that retains the same dimensions as the face.
2. Since all faces of the cube are squares, a slice parallel to any face will also be a square.

### Verify and Summarize
- By verifying the properties of a cube and understanding that the resulting slice is congruent in shape to the face, it is evident the cross-section is a square.

### Final Answer
The cross-section formed by slicing through a cube parallel to any face is **a. square**.

Question

### Break Down the Problem
1. Identify the geometric properties of a cube.
2. Understand how slicing a cube through a face parallelly impacts its cross-section.

### Relevant Concepts
- A cube is a three-dimensional shape with six equal square faces.
- Slicing a three-dimensional shape (like a cube) through a plane that is parallel to one of its faces will produce a two-dimensional shape that is congruent to the face being sliced.

### Analysis and Detail
1. When you slice a cube parallel to one of its faces, you are creating a cross-section that retains the same dimensions as the face. 
2. Since all faces of the cube are squares, a slice parallel to any face will also be a square.

### Verify and Summarize
- By verifying the properties of a cube and understanding that the resulting slice is congruent in shape to the face, it is evident the cross-section is a square.

### Final Answer
The cross-section formed by slicing through a cube parallel to any face is **a. square**.

Knowee AI · Accepted Answer

### Break Down the Problem
1. Identify the geometric properties of a cube.
2. Understand how slicing a cube through a face parallelly impacts its cross-section.

### Relevant Concepts
- A cube is a three-dimensional shape with six equal square faces.
- Slicing a three-dimensional shape (like a cube) through a plane that is parallel to one of its faces will produce a two-dimensional shape that is congruent to the face being sliced.

### Analysis and Detail
1. When you slice a cube parallel to one of its faces, you are creating a cross-section that retains the same dimensions as the face. 
2. Since all faces of the cube are squares, a slice parallel to any face will also be a square.

### Verify and Summarize
- By verifying the properties of a cube and understanding that the resulting slice is congruent in shape to the face, it is evident the cross-section is a square.

### Final Answer
The cross-section formed by slicing through a cube parallel to any face is **a. square**.

What cross-section is formed by slicing through a cube parallel to any face?Question 4Select one:a.squareb.parallelogramc.triangled.rectangle

Question

What cross-section is formed by slicing through a cube parallel to any face?

Solution

Break Down the Problem

Relevant Concepts

Analysis and Detail

Verify and Summarize

Final Answer

Similar Questions

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