Which of the following DOES NOT have any rectangular faces?

A. pentagonal prism
B. hexagonal pyramid
C. rectangular prism
D. square pyramid

Pentagonal prism

pentagonal prism

pentagonal prism

pentagonal prism

pentagonal prism

To determine which figure does not have any rectangular faces, we need to understand the properties of each given shape.

A. A pentagonal prism consists of two pentagons as its bases and five rectangular faces connecting these bases. Therefore, a pentagonal prism has rectangular faces.

B. A hexagonal pyramid has a hexagon as its base and six triangular faces connecting the base to the apex. It does not have any rectangular faces.

C. A rectangular prism, as its name suggests, has six rectangular faces. Therefore, a rectangular prism has rectangular faces.

D. A square pyramid has a square as its base and four triangular faces connecting the base to the apex. It does not have any rectangular faces.

Based on the explanations above, the shape that does not have any rectangular faces is option D. square pyramid.