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Question 9b

Video explanation ↓

X and Y are two rectangular containers. Container X measures 36 cm by 16 cm by 24 cm and was 2/3 filled with water. The remaining water in container X could fill 5 identical bottles to the brim. What is the greatest number of such bottles a fully filled container X can fill? (2 marks)

Question 9b diagram

Answer: 17 bottles

Workings

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container x left → 4 litres = 4000 cm³

5 bottles → 4000 cm³ 1 bottle → 4000 ÷ 5 = 800 cm³

total volume of x → 36 x 16 x 24 = 13824 cm³

greatest number of bottles to fill up X → 13824 ÷ 800 = 17.28 ≈ 17

its not 18 because we have overflown by 0.28 of 1 bottle

Video explanations

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