(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

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 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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 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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