If the total surface area of a cubical box is 54cm²,find the length of its edge
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6a^2= 54
a=3cm
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Answer: Since the surface area of a cube comprises six identical squares, the S.A. of a cube with edge length a is:
SA=6a2
We know the SA is 54 cm 2 and we want to find a, so we plug in what we know and solve for what we need:
54=6a2⟹546=a2⟹9=a2
⟹±3=a
However, the length of the edge of a cube can’t be negative, so a=3 cm.
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