AM-1259

Surds and rationalising

A Math · Secondary 4 · Hard · Surds and rationalising

A cuboid has a base area of

(6 + 2\sqrt{3})\text{ cm}^2

and a volume of

(15 + 9\sqrt{3})\text{ cm}^3

. Find, without using a calculator, the height of the cuboid, in cm, in the form

a + b\sqrt{3}

, where

a

and

b

are integers.

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