A triangular prism (like the carton of the Toblerone Chocolate) has equilateral triangles as bases and is used to contain a sample of antimatter. 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
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7. A triangular prism (like the carton of the Toblerone Chocolate) has equilateral triangles as
bases and is used to contain a sample of antimatter. 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.
Transcribed Image Text:7. A triangular prism (like the carton of the Toblerone Chocolate) has equilateral triangles as bases and is used to contain a sample of antimatter. 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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