Find the cubical box whose surface area is 486cm2
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We know that surface area of cube is 6l
2
.
It is given that the surface area of cube is 486 cm
2
, therefore,
486=6l
2
⇒l
2
=
6
486
⇒l
2
=81
⇒l=
81
⇒l=9
Now, the volume of the cube is l
3
, therefore, the volume with length l=9 is:
V=9
3
=729
Hence, the volume of the cube is 729 cm
3
.
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Step-by-step explanation:
Surface area=486cm²
So, each side={√(486/6)}cm=(√81)cm=9cm
Hence, the each edge measures 9cm whose surface area is 486cm².
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