| Exam Board | OCR |
|---|
| Module | Further Additional Pure AS (Further Additional Pure AS) |
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| Year | 2019 |
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| Session | June |
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| Topic | Vector Product and Surfaces |
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5 The tetrahedron \(T\), shown below, has vertices at \(O ( 0,0,0 ) , A ( 1,2,2 ) , B ( 2,1,2 )\) and \(C ( 2,2,1 )\).
\includegraphics[max width=\textwidth, alt={}, center]{59fa1650-a296-471e-93b9-0988177cd89d-3_360_464_319_555}
Diagram not drawn to scale
Show that the surface area of \(T\) is \(\frac { 1 } { 2 } \sqrt { 3 } ( 1 + \sqrt { 51 } )\).