MHB Find the volume of the hexagonal-shaped plastic box

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To find the volume of the hexagonal-shaped plastic box, it's essential first to calculate the volume of each triangular chocolate bar, which has a base of 3 cm and a height determined by the formula h = (3/2)tan(50 degrees). The total volume of the box can then be obtained by multiplying the volume of one chocolate bar by 24. However, there is insufficient information provided to determine the side length of the chocolate bar, denoted as x. Clarifying the dimensions of the hexagonal box and providing complete problem details will facilitate further assistance.
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A chocolate company produces triangular chocolate bars. The length of the chocolate bar is x cm, and its cross section is an isosceles triangle. The length of the base side of the cross section is 3 cm, the height is h cm, and the two base angles are 50 degrees.
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Moreover, the company uses a hexagonal-shaped plastic box to pack 24 chocolate bars together as shown in the figure below.
View attachment 9690

What is the volume of the hexagonal-shaped plastic box?

*I would like to apologize if I keep on editing the content of my problem. Originally, the question asked was to find the volume of the hexagonal shaped plastic box. In my opinion, I can only solved this if I will be able to find the volume of each triangular chocolate bars then multiply it by 24 (please correct me if my view was invalid). However, I am really having a hard time in solving for x.
 

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Is it asking you for the height of the chocolate bar, or the side length?

Have you drawn a diagram?
 
$h = \dfrac{3}{2}\tan(50^\circ)$

You’ll need the bar’s volume to determine the length of the bar, $x$.
 
*I would like to apologize if I keep on editing the content of my problem. Originally, the question asked was to find the volume of the hexagonal shaped plastic box. In my opinion, I can only solved this if I will be able to find the volume of each triangular chocolate bars then multiply it by 24 (please correct me if my view was invalid). However, I am really having a hard time in solving for x.

What measurement information was given about the hexagonal box? As it sits, there is not enough information to determine $x$.
 
angubk6 said:
*I would like to apologize if I keep on editing the content of my problem. Originally, the question asked was to find the volume of the hexagonal shaped plastic box. In my opinion, I can only solved this if I will be able to find the volume of each triangular chocolate bars then multiply it by 24 (please correct me if my view was invalid). However, I am really having a hard time in solving for x.

Post the entire problem to start with, with everything you have tried, and then we can actually help you!
 

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