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For the rectangular solid below, find the following. (a) Surf

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For the rectangular solid below, find the following. (a) Surf [#permalink] New post 26 May 2019, 10:28
Expert's post
For the rectangular solid below, find the following.

(a) Surface area of the solid

(b) Length of diagonal AB

Attachment:
#GREexcercise For the rectangular solid below, find the following.jpg
#GREexcercise For the rectangular solid below, find the following.jpg [ 20.01 KiB | Viewed 6885 times ]


[Reveal] Spoiler: OA
(a) 208 (b) \(3 \sqrt{17}\)


Math Review
Question: 14
Page: 262
Difficulty: medium

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Re: For the rectangular solid below, find the following. (a) Surf [#permalink] New post 26 May 2019, 18:37
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Carcass wrote:
For the rectangular solid below, find the following.

(a) Surface area of the solid

(b) Length of diagonal AB

Attachment:
#GREexcercise For the rectangular solid below, find the following.jpg


[Reveal] Spoiler: OA
(a) 208 (b) \(3 \sqrt{17}\)


Math Review
Question: 14
Page: 262
Difficulty: medium


Here,

Surface area of the solid is = \(2(LH + BH + LB) = 2 (70 + 20 + 14) = 2(104) = 208\)

Length of AB = \(\sqrt{{L^2 + B^2 + H^2}} = \sqrt{{ 49 + 4 + 100}}= \sqrt{153} = 3\sqrt{17}\)
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Re: For the rectangular solid below, find the following. (a) Surf [#permalink] New post 30 Oct 2019, 13:51
any explain how the length of AB is calculated? Looking for an explanation to pranab's solution.

thanks!
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Re: For the rectangular solid below, find the following. (a) Surf [#permalink] New post 30 Oct 2019, 14:40
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Expert's post
bellavarghese wrote:
any explain how the length of AB is calculated? Looking for an explanation to pranab's solution.

thanks!


It's based on a useful formula, which goes something like this:

If you have a box with dimensions A x B x C, and points P and Q are located as shown in the diagram, then the length of PQ \(= \sqrt{A^2 + B^2 + C^2}\)

Cheers,
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Re: For the rectangular solid below, find the following. (a) Surf   [#permalink] 30 Oct 2019, 14:40
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For the rectangular solid below, find the following. (a) Surf

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