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प्रश्न
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
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उत्तर
The perimeter of a cube formula is, Perimeter = 4a where ( a = length )
Given that perimeter of the face of the cube is 32 cm
⇒ 4a = 32 cm
⇒ a = `( 32 )/( 4 )`
⇒ a = 8 cm
We know that surface area of a cube with side 'a' = 6a2
Thus, Surface area = 6 × 82 = 6 × 64 = 384 cm2
We know that the volume of a cube with side 'a' = a3
Thus, volume = 83 = 512 cm3
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