A piece of cardboard is being used to make a container that will have no lid. Four square cutouts of side length h will be cut from the corners of the cardboard. The container will have a square base of side s, height h, and a volume of 80 in³. Which is the correct order of steps for finding minimum surface area A of the container? s²h = 80 and A = s² + 4sh 1. A' =2s II. 0=2s- S III. A= $²,320 S OI, III, II 320 s² s = 5.429 in and h = 2.714 in O III, I, II 320 O III, II, I

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 16E: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and...
Question
A piece of cardboard is being used to make a container that will have no lid. Foursquare cutouts of side length h will be cut from the corners of the cardboard. The container will have a square base of side s, height h, and a volume of 80
in³. Which is the correct order of steps for finding minimum surface area A of the container?
s²h = 80 and A = s² + 4sh
1. A' = 2s-
II. 0=2s-
III. A s² +
O I, III, II
O III, I, II
s = 5.429 in and h = 2.714 in
O III, II, I
320
s²
O I, II, III
320
s²
320
S
Transcribed Image Text:A piece of cardboard is being used to make a container that will have no lid. Foursquare cutouts of side length h will be cut from the corners of the cardboard. The container will have a square base of side s, height h, and a volume of 80 in³. Which is the correct order of steps for finding minimum surface area A of the container? s²h = 80 and A = s² + 4sh 1. A' = 2s- II. 0=2s- III. A s² + O I, III, II O III, I, II s = 5.429 in and h = 2.714 in O III, II, I 320 s² O I, II, III 320 s² 320 S
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