Mathematics
The perimeter of one face of a cube is 20 cm. Find the surface area and the volume of the cube.
Mensuration
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Answer
Given,
Perimeter of one face of a cube = 20 cm
Perimeter of one face of a cube = 4 × side (As it is a square)
⇒ 20 = 4 × side
⇒ Side = = 5 cm
Surface area of cube = 6(side)2
= 6(5)2
= 6 × 5 × 5 = 150 cm2
Volume of cube = side × side × side
= 5 × 5 × 5
= 125 cm3.
Hence, surface area of cube = 150 cm2 and volume = 125 cm3.
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