A 2 meter by 2 meter square sheet of titanium alloy is used to make an open box by cutting squares
1 answer:
Answer:
D) 1/3
Step-by-step explanation:
<u>Cut sizes are:</u>
A) 1
<u>Sides are:</u>
<u>Volume is</u>
B) 2/5
<u>Sides are:</u>
- 2/5 and 2 off (2-2*2/5) = 6/5
<u>Volume is:</u>
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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