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Mathematics · Oct / Nov 2024 · Paper 22 · Question 23

0580

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The question as text

0580/22/O/N/24 © UCLES 2024 23 3.5 cm Small box x cm Large box NOT TO SCALE The small box is mathematically similar to the large box. The volume of the large box is 72.8% greater than the volume of the small box. The small box has length 3.5 cm and the large box has length x cm. Calculate the value of x. x ž [3]

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4.2 oe [3]

72.8 + ×

M2 for 3 1 3.5 oe 100 3 172.8

or M1 for oe 3 100 3 100 or oe 3 172.8 x 3 = 172.8 or 100 oe 3 3.5

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