The volume of a cuboid is 1440 cm 3 . Its height is 10 cm and the cross-section is a square. Find the side of the square.

Mathematics

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(a) Given,

Volume of cuboid = 1440 cm³

Height of cuboid = 10 cm.

Given, cross section is a square.

∴ length = breadth = x cm (let).

By formula,

Volume of cuboid = area of square × height

Substituting the values we get,

⇒ 1440 = $x$ × $x$ × 10

⇒ $x^2$ = $\dfrac{1440}{10}$

⇒ $x^2$ = 144

⇒ $x$ = $\sqrt{144}$ = 12 cm.

Hence, the side of square is 12 cm.

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