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26 / 30 Marks
E
5 cm
D
с
ABCF is a rectangle.
CDEF is a trapezium.
AE is a straight line.
AB = 9 cm, AE = 11 cm and DE = 5 cm.
The perimeter of rectangle ABCF is 28 cm.
Calculate the area of trapezium CDEF.
= 24cm
11 cm
9 cm
B
+

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?