Solid geometry › Prisms and pyramids › Regular pentagons and prisms

Diagonal of a rectangular face

Middle school · ●●○○○ 20 pts

A regular right pentagonal prism has a length (the distance between its two pentagonal bases) of 18.9 cm and a volume of 452.7 cm

^3

. Find the diagonal length of one of its rectangular faces, in cm, rounded to the nearest millimetre (one decimal place). Use the area of a regular pentagon

\approx 1.720477\,s^2

for side length

s

volume of prisms Pythagorean theorem diagonal of a rectangle