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Furkat [3]
3 years ago
10

If the cube shown is 7 centimeters on all sides what is the length of the diagonal x.

Mathematics
2 answers:
Volgvan3 years ago
7 0

Answer:

9.899

Step-by-step explanation:

7²+7²=98

\sqrt{98} =9.899

Marina86 [1]3 years ago
3 0

There's no cube shown but we can guess the diagonal is the long diagonal.  

In a rectangular parallelpiped (aka a box) with dimensions a × b × c the long diagonal x satifies a 3D version of the Pythagorean Theorem,

x² = a² + b² + c²

In a cube a=b=c

x² = 3a²

x = a√3

Answer: 7√3

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