Two different types of flat metal sheets will be cut in appropriate sizes and combined to make an open top, square prism shaped box. The cost of 1 cm2 of the metal used in the construction of the side faces of the square prism is 16 TL, and the cost of 1 cm2 of the metal used in the construction of the base is 9 TL. Which of the following are the dimensions of the lowest cost box with a volume of 144cm3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Two different types of flat metal sheets will be cut in appropriate sizes and combined to make an open top, square prism shaped box. The cost of 1 cm2 of the metal used in the construction of the side faces of the square prism is 16 TL, and the cost of 1 cm2 of the metal used in the construction of the base is 9 TL. Which of the following are the dimensions of the lowest cost box with a volume of 144cm3?

a)none

b)base edge=2.25cm h=8cm

c)base edge=6cm h=4cm

d)base edge=4cm h=9cm

e)base edge=8cm h=2.25cm

f=base edge=2*(36)^(1/3)cm h=2*(36)^(1/3)cm

İki farklı türdeki düz metal levha uygun ölçülerde kesilip birleştirilerek üstü açık, kare prizma şeklinde bir kutu yapılacaktır.
Kare prizmanın yan yüzlerinin yapımında kullanılan metalin 1 cm? maliyeti 16 TL, tabanının yapımında kullanılan metalin
1 cm? maliyeti ise 9 TL'dir. 144 cm hacime sahip, en düşük maliyetli kutunun ölçüleri aşağıdakilerden hangisidir?
OA. Hiçbiri
OB. Taban kenarı: 2.25 cm, Yükseklik: 8 cm.
OC. Taban kenarı: 6 cm, Yükseklik: 4 cm.
OD. Taban kenarı: 4 cm, Yükseklik: 9 cm.
O E. Taban kenarı: 8 cm, Yükseklik: 2.25 cm.
OF. Taban kenarı: 236 cm. Yükseklik: 236 cm.
Transcribed Image Text:İki farklı türdeki düz metal levha uygun ölçülerde kesilip birleştirilerek üstü açık, kare prizma şeklinde bir kutu yapılacaktır. Kare prizmanın yan yüzlerinin yapımında kullanılan metalin 1 cm? maliyeti 16 TL, tabanının yapımında kullanılan metalin 1 cm? maliyeti ise 9 TL'dir. 144 cm hacime sahip, en düşük maliyetli kutunun ölçüleri aşağıdakilerden hangisidir? OA. Hiçbiri OB. Taban kenarı: 2.25 cm, Yükseklik: 8 cm. OC. Taban kenarı: 6 cm, Yükseklik: 4 cm. OD. Taban kenarı: 4 cm, Yükseklik: 9 cm. O E. Taban kenarı: 8 cm, Yükseklik: 2.25 cm. OF. Taban kenarı: 236 cm. Yükseklik: 236 cm.
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