Investigating And Optimizing Three-Dimensional Shapes
Complete each question, showing all work.
1. A rectangular transport box with a surface area of 625 ft2 is designed to contain a maximum volume. What are its dimensions so that its volume is maximized?
2. Calculate the dimensions, in ft, of a cylindrical drum that can hold 15 gal of oil with a minimum surface area.
3. Jane wishes to build a birdfeeder in the shape of an equilateral triangular prism that can contain 2 bags of nyjer seeds. Nyjer seeds sell in bags of 275 cm3. a. What dimensions of the birdfeeder will minimize the amount of materials Jane will need in order to hold 2 bags of the birdfeed at once? b. Jane plans to use wood for the triangular base and top of the birdfeeder, and aluminium for its sides. How much of each material will she need to build this birdfeeder?
Needs help with similar assignment?
We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper
Get Answer Over WhatsApp Order Paper Now