Gerard Sayson TMUA Mock Paper 1 · Question 10

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Gerard Sayson TMUA Mock Paper 1 · Q10

Paper 1Geometry

A right pyramid has a square base with a side length of $\sqrt6$ cm. Given that the volume of the pyramid is

V=\frac{16}{3-\sqrt5}\text{ cm}^3

find the exact vertical height of the pyramid in cm.

[The volume of a pyramid is given by $\frac13Ah$ , where $A$ is the area of its base and $h$ is its height.]

24+8\sqrt5

6+8\sqrt5

6-2\sqrt5

6+2\sqrt5

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