Q I:- A rectangular page is to contain 30 square inches of print. The margins on each side are I inch. Determine the dimensions of the page such that the least amount of paper is used.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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Q 1:- A rectangular page is to contain 30 square inches of print. The margins on each side are 1 inch.
Determine the dimensions of the page such that the least amount of paper is used.
Q 2:- (a) Show that each of the rectangular solids given in figure has a surface area of 150 square
inches.
(b) Determine the volume of each solid.
(c) Determine the dimensions of a rectangular solid (with a square base) of maximum volume
if its surface area is 150 square inches.
3.25
Q 3:- The sum of the perimeters of an equilateral triangle and a square is 10. Determine the
dimensions of the triangle and the square that produce a minimum total area.
Transcribed Image Text:Q 1:- A rectangular page is to contain 30 square inches of print. The margins on each side are 1 inch. Determine the dimensions of the page such that the least amount of paper is used. Q 2:- (a) Show that each of the rectangular solids given in figure has a surface area of 150 square inches. (b) Determine the volume of each solid. (c) Determine the dimensions of a rectangular solid (with a square base) of maximum volume if its surface area is 150 square inches. 3.25 Q 3:- The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions of the triangle and the square that produce a minimum total area.
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