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Rain is designing a new bottle for Luscious Curls shampoo. The bottle should have a volume of 450 cm³. The company they work for wants to minimize the amount of plastic used per bottle, however the company would like to have a choice between two of three shapes; a cylinder, triangular prism, or rectangular prism. Help Rain to determine the most efficient dimensions of the two most efficient shapes for the bottle with the minimum surface area.Also calculate the surface area of the shapes. Show your work.

Rain is designing a new bottle for Luscious Curls shampoo. The bottle should have a volume of 450 cm³. The company they work for wants to minimize the amount of plastic used per bottle, however the company would like to have a choice between two of three shapes; a cylinder, triangular prism, or rectangular prism. Help Rain to determine the most efficient dimensions of the two most efficient shapes for the bottle with the minimum surface area.Also calculate the surface area of the shapes. Show your work.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
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Rain is designing a new bottle for Luscious Curls shampoo. The bottle should have a volume of 450 cm³. The company they work for wants to minimize the amount of plastic used per bottle, however the company would like to have a choice between two B3 of three shapes; a cylinder, triangular prism, or rectangular prism. Help Rain to determine the most efficient dimensions of the two most efficient shapes for the bottle with the minimum surface area.Also calculate the surface area of the shapes. Show your work. Bottle choice 1 Bottle choice 2 Bottle choice 1 Bottle choice 2 show your work here Shape and dimensions Shape and surface area
Transcribed Image Text:Rain is designing a new bottle for Luscious Curls shampoo. The bottle should have a volume of 450 cm³. The company they work for wants to minimize the amount of plastic used per bottle, however the company would like to have a choice between two B3 of three shapes; a cylinder, triangular prism, or rectangular prism. Help Rain to determine the most efficient dimensions of the two most efficient shapes for the bottle with the minimum surface area.Also calculate the surface area of the shapes. Show your work. Bottle choice 1 Bottle choice 2 Bottle choice 1 Bottle choice 2 show your work here Shape and dimensions Shape and surface area
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