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Pavlova-9 [17]
3 years ago
9

A 2 meter by 2 meter square sheet of titanium alloy is used to make an open box by cutting squares

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

D) 1/3

Step-by-step explanation:

<u>Cut sizes are:</u>

A) 1

<u>Sides are:</u>

  • 1 and  2 off (2-2*1) = 0

<u>Volume is</u>

  • zero

B) 2/5

<u>Sides are:</u>

  • 2/5 and 2 off (2-2*2/5) = 6/5

<u>Volume is:</u>

  • 2/5*6/5*6/5 = 0.576

C) 1/4

<u>Volume is:</u>

  • 1/4*(2 - 2/4)(2 - 2/4) = 0.5625

D) 1/3

<u>Volume is:</u>

  • 1/3*(2 - 2/3)(2-2/3)= 0.5925

E) 1/2

<u>Volume is:</u>

  • 1/2*(2 - 2/2)(2 - 2/2) = 0.5

The largest volume is obtained when cut size is 1/3 m

Correct option is D.

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