A gift box is made in the shape of a triangular prism. The triangular end is an equilateral triangle with length x cm and the length of the box is The volume of the box is 300 cm'. r cmX Кx ст у ст х ст (a) Find an expression for y in terms of x. (b) Show that the total surface area A cm?, of the box, is given by 1200v3, v3x? + 2. A = (c) Find the value of x that gives the minimum total surface area. Justify your answer.
A gift box is made in the shape of a triangular prism. The triangular end is an equilateral triangle with length x cm and the length of the box is The volume of the box is 300 cm'. r cmX Кx ст у ст х ст (a) Find an expression for y in terms of x. (b) Show that the total surface area A cm?, of the box, is given by 1200v3, v3x? + 2. A = (c) Find the value of x that gives the minimum total surface area. Justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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