Higher January 2020 Paper 2R Q13

EdexcelHigherCurrent spec3 marksPrisms

13

Prism ABCDEFGH with trapezium cross-section ABCD: BC = 7 cm on top, AD = 12 cm at the bottom, height h cm; length DE = 10 cm

Diagram NOT accurately drawn

The diagram shows a prism \(ABCDEFGH\) in which \(ABCD\) is a trapezium with \(BC\) parallel to \(AD\) and \(CDEF\) is a rectangle.

\(BC = 7\) cm     \(AD = 12\) cm     \(DE = 10\) cm

The height of trapezium \(ABCD\) is \(h\) cm
The volume of the prism is 608 cm³

Work out the value of \(h\).

(3)

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