Question

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

Answer 1

D) 1/3

Explanation:

Cut sizes are:

A) 1

Sides are:

• 1 and 2 off (2-2*1) = 0

Volume is

• zero

B) 2/5

Sides are:

• 2/5 and 2 off (2-2*2/5) = 6/5

Volume is:

• 2/5*6/5*6/5 = 0.576

C) 1/4

Volume is:

• 1/4*(2 - 2/4)(2 - 2/4) = 0.5625

D) 1/3

Volume is:

• 1/3*(2 - 2/3)(2-2/3)= 0.5925

E) 1/2

Volume is:

• 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.