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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 28A: Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer...
icon
Related questions
Topic Video
Question

Optimization problem. Please solve. Thank you so much!

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,