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# A rectangular box has a length of 6 centimeters, a width of 8 centimet

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Joined: 02 Sep 2009
Posts: 53066
A rectangular box has a length of 6 centimeters, a width of 8 centimet  [#permalink]

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11 Oct 2018, 01:57
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Difficulty:

15% (low)

Question Stats:

79% (01:08) correct 21% (02:04) wrong based on 54 sessions

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A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

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A rectangular box has a length of 6 centimeters, a width of 8 centimet  [#permalink]

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11 Oct 2018, 03:30
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

Longest Diagonal of the Box $$= √(l^2+b^2+h^2) = √(6^2+8^2+10^2) = √200 = 10√2$$

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Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet  [#permalink]

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11 Oct 2018, 06:56
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

$$Diagonal = \sqrt{6^2 + 8^2 + 10^2}$$

Or, $$Diagonal = \sqrt{200}$$

Or, $$Diagonal = 10\sqrt{2}$$ ; Answer must be (C)
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Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet  [#permalink]

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13 Oct 2018, 17:45
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

We can use the formula to determine the length d of the diagonal:

l^2 + w^2 + h^2 = d^2

6^2 + 8^2 + 10^2 = d^2

36 + 64 + 100 = d^2

200 = d^2

√100 x √2 = d

10√2 = d

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Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet   [#permalink] 13 Oct 2018, 17:45
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