Answer:
in a cube all sides are equal and all angles are 90°
so we can consider that diagonal of a cube is hyportenuse of a right angled triangle.
by pythagoras theorm
(base)²+(height)²=(hypotenuse)²
as base and height are equal
x²+x² = (2√3)²
2x² = 4×3
2x² = 12
x² = 12/2
x² = 6
x =√6
hence √6 is the side of the cube
Step-by-step explanation:
=> Diagonal of a cube 2√×sides
=> 2×√3= 2√×sides
=> side = √6
=> volume of cube= side³
=> √216
This is your answer.
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Answers & Comments
Answer:
in a cube all sides are equal and all angles are 90°
so we can consider that diagonal of a cube is hyportenuse of a right angled triangle.
by pythagoras theorm
(base)²+(height)²=(hypotenuse)²
as base and height are equal
x²+x² = (2√3)²
2x² = 4×3
2x² = 12
x² = 12/2
x² = 6
x =√6
hence √6 is the side of the cube
Step-by-step explanation:
=> Diagonal of a cube 2√×sides
=> 2×√3= 2√×sides
=> side = √6
=> volume of cube= side³
=> √216
This is your answer.