The volume of a prism is \(\left(2\sqrt{3}+2\sqrt{15}\right)\text{ cm}^3\). The prism has an equilateral triangular base of side \(\left(1+\sqrt{5}\right)\) cm. Without using a calculator, express the height of the prism in the form \(\left(a+b\sqrt{5}\right)\) cm, where \(a\) and \(b\) are integers.[6]
Sign in to view the step-by-step solution
Need help? Join our JC Math tuition classes.
Learn more