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3 years ago

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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Step-by-step explanation:

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