Question

when analyzing a triangular prism, which of the following correctly describes its faces?
a. four triangular faces and one square base.
b. two triangular bases and three rectangular lateral faces.
c. three triangular faces and two rectangular bases.
d. five triangular faces of equal dimensions.

Explanation:

A triangular prism has two congruent triangular bases. The lateral faces (the faces connecting the bases) are rectangles. Let's check each option:

• Option a: A triangular prism does not have four triangular faces and a square base.
• Option b: A triangular prism has two triangular bases and three rectangular lateral faces. This is correct.
• Option c: A triangular prism does not have three triangular faces and two rectangular bases.
• Option d: A triangular prism does not have five triangular faces.

Answer:

B. Two triangular bases and three rectangular lateral faces.