Find the volume (in cubic centimeters) of the prism.

Question

Consider the oblique regular pentagonal prism shown. Each side of the base measures 18 cm, and the altitude measures 18 cm.

18 cm

18 cm

18 cm

12.4 cm

An oblique regular pentagonal prism and a pentagon are shown side by side. The pentagon contains a labeled segment and angle.

1. The front edge of the base of the prism is labeled 18 cm.
2. The altitude of the prism is labeled 18 cm.
3. The horizontal bottom edge of the pentagon is labeled 18 cm.
4. A vertical dashed line segment extends down from the center of the pentagon and ends at its bottom edge, forming a right angle. The dashed segment is labeled 12.4 cm.

Find the volume (in cubic centimeters) of the prism.

Answer 1

A_base = (5/2)sa, s represents side length, a represents apothem

V = bh