Mathematics
Each face of a cube has perimeter equal to 32 cm. Find its surface area and its volume.
Mensuration
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Answer
Given:
Perimeter of each face = 32 cm
Perimeter of square = 4 x side
⇒ 4 x side = 32 cm
⇒ side = cm
⇒ side = 8 cm
Surface area of cube = 6 x side2
= 6 x (8)2 cm2
= 6 x 64 cm2
= 384 cm2
Volume of cube = side3
= 83 cm3
= 512 cm3
Hence, the surface area is 384 cm2 and the volume is 512 cm3.
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