(A) Find the dimension of a box with A Square base with volume 216 and the minimal Surface area (use Symbolic notation and fraction where nenched) Side base: ? Height

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 75E
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Hello please answer my calculus question attached  below and don't forget to circle the correct answer for easy idenfication of the answer.

(A) Find the dimension of a box With A Square base with volume 216 and the minimal Surface area
(use Symbolic notation and fraction where neached)
Side base:
?
Height:
Minimal Surface Area.
?
Square base with surface area 44 and the maximal Volume
(B) Find the dimensions of a box with a
Cuse Symbolic notation and fractions where needed.)
Side of base
?
?
Height
?
maximum volume:
Here are some information that could be helpful :
Recall the formulas for the volume and the surface arro of a box with a square base.
V = x² n
S = 2x² + 4xh
using
the formuld for the volume, rewrite the surface area function in terms of X only, S(X). Find the
extremum of the Surface area.
Transcribed Image Text:(A) Find the dimension of a box With A Square base with volume 216 and the minimal Surface area (use Symbolic notation and fraction where neached) Side base: ? Height: Minimal Surface Area. ? Square base with surface area 44 and the maximal Volume (B) Find the dimensions of a box with a Cuse Symbolic notation and fractions where needed.) Side of base ? ? Height ? maximum volume: Here are some information that could be helpful : Recall the formulas for the volume and the surface arro of a box with a square base. V = x² n S = 2x² + 4xh using the formuld for the volume, rewrite the surface area function in terms of X only, S(X). Find the extremum of the Surface area.
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