A triangular prism (like the carton of the Toblerone Cholocate) has equilateral triangles as bases and is used to contain a sample of antimater. If the top and bottom bases are made of Platinum (Platinum Price Per 1 Gram: 30 USD, sheet manufacturing cost per gram: 5 USD, density: 21 g/cm3), and the sides are made of newly discovered precious metal adamantium (Price Per 1 Gram: 50 USD, sheet manufacturing cost per gram: 10 USD, density: 50 g/cm3), Calculate the volume of the largest prism that can be made for PhP 1 Million Pesos. The thickness of sheets to manufacture the prism is 1 mm, and 1 USD=55 PhP. Assume the thickness of the metal is negligible in comparison to the dimension of the prism.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A triangular prism (like the carton of the Toblerone Cholocate) has equilateral triangles as bases and is used to contain a sample of antimater. If the top and bottom bases are made of Platinum (Platinum Price Per 1 Gram: 30 USD, sheet manufacturing cost per gram: 5 USD, density: 21 g/cm3), and the sides are made of newly discovered precious metal adamantium (Price Per 1 Gram: 50 USD, sheet manufacturing cost per gram: 10 USD, density: 50 g/cm3), Calculate the volume of the largest prism that can be made for PhP 1 Million Pesos. The thickness of sheets to manufacture the prism is 1 mm, and 1 USD=55 PhP. Assume the thickness of the metal is negligible in comparison to the dimension of the prism.

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