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

Question

3 years ago

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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.

Mathematics

1 answer:

jonny [76] · Answer 1 · 2022-01-11T15:09:20+03:00

jonny [76]3 years ago

4 0

Answer:

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)

Step-by-step explanation: