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Mathematics

Find the length of each edge of a cube, if its volume is :

(i) 216 cm3

(ii) 1.728 m3

Surface Area, Volume, Capacity

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Answer

(i) Given:

Volume of the cube = 216 cm3

Let s be the side of cube.

As we know that volume of cube = side3

⇒ s3 = 216

⇒ s = 2163\sqrt[3]{216}

⇒ s = 6 cm

Hence, the length of each edge of cube is 6 cm.

(ii) Given:

Volume of the cube = 1.728 m3

Let s be the side of cube.

As we know that volume of cube = side3

⇒ s3 = 1.728

⇒ s = 1.7283\sqrt[3]{1.728}

⇒ s = 1.2 m

Hence, the length of each edge of cube is 1.2 m.

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