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How much will the height of the cuboid made by melting the cube having diagonal 22√3 cm? If the length of the cuboid is equal to the arm of the cube, and the width of the cuboid is 11 cm. (in cm)

How much will the height of the cuboid made by melting the cube having diagonal 22√3 cm? If the length of the cuboid is equal to the arm of the cube, and the width of the cuboid is 11 cm. (in cm) Correct Answer 44

As we know,

Volume of cube = a3

Volume of cuboid = lbh

Diagonal of the cube = √3a

⇒ √3a = 22 √3

⇒ a = 22 cm

Length of the cuboid, l = 22 cm

Let the height of the cuboid be h cm

Width of the cuboid, b = 11 cm

According to the question

22 × 11 × h = 22 × 22 × 22

⇒ h = (22 × 22 × 22)/(22 × 11)

∴ h = 44 cm

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