You are hired by a big chocolate company which produces chocolate for runners, called TobbyRun, and you are asked to find the optimal packaging for the best-selling product. The shape of the product is the following: The triangle in front (and behind the image) must be the same equilateral triangle. The packaging is fully closed. On top of this, 15% of the volume of the box must be empty (must not contain chocolate). Each packaging will contain chocolate weighing 200 grams. The density of chocolate is 1.8gram/cm³. b) The production line finally tells you they need packaging with a volume of 230cm³. Assuming you want to create the packaging using the smallest amount of cardboard possible while still satisfying the constraint, what are the values of h, in cm? (if needed, round your answer to 2 digits after the decimal point.) Answer:

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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You are hired by a big chocolate company which produces chocolate for runners, called TobbyRun, and you are asked to find the optimal
packaging for the best-selling product. The shape of the product is the following:
h
The triangle in front (and behind the image) must be the same equilateral triangle. The packaging is fully closed. On top of this, 15% of the
volume of the box must be empty (must not contain chocolate).
Each packaging will contain chocolate weighing 200 grams. The density of chocolate is 1.8gram/cm³.
b) The production line finally tells you they need packaging with a volume of 230cm³. Assuming you want to create the packaging using the
smallest amount of cardboard possible while still satisfying the constraint, what are the values of h, in cm?
(if needed, round your answer to 2 digits after the decimal point.)
Answer:
Transcribed Image Text:You are hired by a big chocolate company which produces chocolate for runners, called TobbyRun, and you are asked to find the optimal packaging for the best-selling product. The shape of the product is the following: h The triangle in front (and behind the image) must be the same equilateral triangle. The packaging is fully closed. On top of this, 15% of the volume of the box must be empty (must not contain chocolate). Each packaging will contain chocolate weighing 200 grams. The density of chocolate is 1.8gram/cm³. b) The production line finally tells you they need packaging with a volume of 230cm³. Assuming you want to create the packaging using the smallest amount of cardboard possible while still satisfying the constraint, what are the values of h, in cm? (if needed, round your answer to 2 digits after the decimal point.) Answer:
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