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.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Can you explain how did the expert derived the volume of the prism, surface area, and the volume of the sheet? Thank you so much. The second picture is the basis of the problem.
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ae1aa06-930d-41fe-85bd-8cf8b33622b3%2Fb1031aa4-847b-424b-b759-99806077866e%2Fw1x826_processed.png&w=3840&q=75)
![Let,
a = Side of the base
1= length of the prism
So, the volume of the prism is,
V = a1
Surface area is,
V3
Surface area =
a² + 3al
The thickness of the sheet =0.1 cm
Now, the volume of the sheet used is,
a + al cm³
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ae1aa06-930d-41fe-85bd-8cf8b33622b3%2Fb1031aa4-847b-424b-b759-99806077866e%2Fn9tt9y_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)