Find P, Q, R and S respectively.
A square pyramid has (P)______base, (Q)______faces, (R)___________ edges and (S)________________corners.

Options

A. Square 4, 10, 5
B. Rectangle 5, 10, 5
C. Square 5, 8, 5
D. Rectangle 6, 10, 5

Answer

To solve the question about the properties of a square pyramid, we will fill in the blanks for P, Q, R, and S step by step.

### Step-by-Step Solution:

1. **Identify the Base (P)**:
- A square pyramid has one base that is in the shape of a square.
- Therefore, P = 1 square base.

2. **Count the Faces (Q)**:
- A square pyramid has one square base and four triangular faces that meet at the apex.
- Thus, the total number of faces is 5.
- Therefore, Q = 5 faces.

3. **Count the Edges (R)**:
- The edges of a square pyramid include the edges of the square base and the edges connecting the apex to each vertex of the base.
- The square base has 4 edges, and there are 4 additional edges connecting the apex to each vertex of the base.
- Therefore, the total number of edges is 8.
- Thus, R = 8 edges.

4. **Count the Corners (S)**:
- The corners of a square pyramid consist of the corners of the square base and the apex.
- The square base has 4 corners, and there is 1 apex.
- Therefore, the total number of corners is 5.
- Thus, S = 5 corners.

### Final Answer:
A square pyramid has:
- (P) 1 square base,
- (Q) 5 faces,
- (R) 8 edges,
- (S) 5 corners.