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 isThe volume of the box is 300 cm³.r cmXКx сту стх 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 by1200v3, v3x?2A =(c)Find the value of x that gives the minimum total surface area. Justify your answer.

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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.

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter9: Roots And Radicals

Section9.4: Multiply Square Roots

Problem 313E: A garden will be made so as to contain two square sections, one section with side length 5+6 yards...

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