The longest diagonal of a 6 cm cube is: 10.39 cm
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6cm.
sqrt(62 + 62 + 62 ) = sqrt(36*3) = sqrt(108) = 10.39 cm
6*6*6 = 216cm3
The area of the square is 18 cm2 The area of a square is: area = side2 By Pythagoras: side2 + side2 = diagonal2 ⇒ 2 side2 = diagonal2 ⇒ side2 = diagonal2 ÷ 2 ⇒ area = diagonal2 ÷ 2 diagonal = 6cm, so: area = (6 cm)2 ÷ 2 ⇒ area = 18 cm2
6cm