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# The above cube has edge of length 16. What is the area of the triangle

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
The above cube has edge of length 16. What is the area of the triangle  [#permalink]

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09 Sep 2018, 07:59
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:29) correct 14% (00:59) wrong based on 19 sessions

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The above cube has edge of length 16. What is the area of the triangle PQR?

A. $$128\sqrt{3}$$

B. $$64\sqrt{3}$$

C. $$64\sqrt{2}$$

D. $$32\sqrt{3}$$

E. 48

Attachment:

image001.gif [ 705 Bytes | Viewed 448 times ]

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: The above cube has edge of length 16. What is the area of the triangle  [#permalink]

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09 Sep 2018, 08:25
Bunuel wrote:

The above cube has edge of length 16. What is the area of the triangle PQR?

A. $$128\sqrt{3}$$

B. $$64\sqrt{3}$$

C. $$64\sqrt{2}$$

D. $$32\sqrt{3}$$

E. 48

Attachment:
image001.gif

The equilateral triangle formed has diagonals of the cube as its sides.

edge length of the cube = 16
therefore diagonal = 16$$\sqrt{2}$$

area of the equilateral triangle = $$\sqrt{3}$$* $$a^2$$/4
where a is the side

area = 128$$\sqrt{3}$$
Re: The above cube has edge of length 16. What is the area of the triangle   [#permalink] 09 Sep 2018, 08:25
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