A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.

Mathematics

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Given:

Volume of the square plate = 2880 cm³

Thickness of the square plate = 8 mm = 0.8 cm

Side of the square plate = x cm

Volume of the square plate = side x side x thickness

⇒ 2,880 = x $\times$ x $\times$ 0.8

⇒ 2,880 = x² $\times$ 0.8

⇒ x² = $\dfrac{2,880}{0.8}$

⇒ x² = 3600

⇒ x = $\sqrt{3600}$

⇒ x = 60 cm

Hence, the value of x is 60 cm.

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