You are hired by a big chocolate company which produces chocolate for runners called TobbyRun and you are asked to find the

Question

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 h h k The triangle in front and behind the image must be the same equilateral triangle The packaging is fully closed On top of this 10 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 2gram cm c The production line finally tells you they need a packaging with a volume of 220cm Assuming you want to create the packaging using the smallest amount of cardboard possible while still satisfying the constraint what are the values of k in cm If needed round your answer to 2 digits after the decimal point

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