Question

The formula for the volume v of a regular dodecahedron (a solid with 12 regular pentagons as faces) is v =7.66a^3 where a is the length of an edge of the dodecahedron. Find the length of an edge of a regular dodecahedron that has a volume of 30 cubic feet. Round your answer to two decimal places.

Answer 1

1.38 feet rounded to the nearest hundredth is correct actually :)

Answer 2

Volume = 7.66* side^3

side^3 = Volume / 7.66

side^3 = 30 / 7.66

side^3 = 3.9164490862

side = 1.5762707925

side = 1.58 feet (rounded)

Explanation: