The side of the edge of the cube is 9. 9cm
How to determine the length
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square = [tex]\sqrt{2a}[/tex]
Where is the side of the square
We then have,
[tex]\sqrt{2a} = 14[/tex]
Make 'a' the subject
a = [tex]\frac{14}{\sqrt{2} }[/tex]
Simplify the surd
a = [tex]\frac{14}{\sqrt{2} }[/tex] × [tex]\frac{14}{\sqrt{2} }[/tex]
a = [tex]\frac{14\sqrt{2} }{2}[/tex]
a = [tex]7\sqrt{2}[/tex]
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
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