Exam Style Question on Volume

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Question id: 349. This question is similar to one that appeared in a GCSE Higher paper in 2017. The use of a calculator is allowed.

The diagram shows a rectangular-based pyramid, TABCD (not drawn to scale).

The horizontal base ABCD has sides of lengths 11m and 15m. The centre of the base of the pyramid is M.

Angle TMC is 90° and angle TCM is 70°

The volume of a pyramid is $$\frac13$$ × area of base × perpendicular height. Calculate the volume of this pyramid.

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