Question

guided practice
right pentagonal prism
(figure of a right pentagonal prism with side length 2 cm, height 7 cm)
surface areas of prisms and cylinders
type your answer and then click or tap done.
use the formula l.a. = ph to find the lateral area of the prism.
(answer box with unit cm²)

Explanation:

Step1: Calculate perimeter of base

The base is a regular pentagon with side length 2 cm. Perimeter \( p = 5 \times 2 = 10 \) cm.

Step2: Find lateral area using formula

Lateral area \( L.A. = p \times h \), where height \( h = 7 \) cm. So \( L.A. = 10 \times 7 = 70 \) cm².

Answer:

70 cm²