Mathematics · May / June 2020 · Paper 21 · Question 19
0580
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The question as text
F 20 cm G H C D A E B 5.5 cm NOT TO SCALE The diagram shows cuboid ABCDEFGH of length 20 cm and width 5.5 cm. The volume of the cuboid is cm 495 3. Find the angle between the line AG and the base of the cuboid ABCD. [5]
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12.2 or 12.24… [5]
M4 for tan = 4.5 oe 20 2 + 5.5 2
or M1 for recognising angle GAC 495
M1 for 20 5.5 ×
M1 for 20 2 + 5.5 2 2 + 2 + 2 or 20 5 .5 ( their 4 . ) 5 their 4.5
M1 for tan = oe 20 2 + 5.5 2
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