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500 mL milk is packed in a cuboidal container of dimensions 15 cm × 8 cm × 5 cm. These milk packets are then packed in cuboidal cartons of dimensions 30 cm × 32 cm × 15 cm.
Generated by claude-sonnet-4-6 · 2026-06-15 10:33 · grounding stimulus
Model Answer
(i) Volume of the cuboidal carton:
Volume = l × b × h = 30 × 32 × 15 = 14,400 cm³
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(ii) Total surface area of a milk packet:
TSA = 2(lb + bh + lh)
= 2(15×8 + 8×5 + 15×5)
= 2(120 + 40 + 75)
= 2 × 235
= 470 cm²
OR
Number of milk packets in a carton:
Volume of carton = 14,400 cm³
Volume of one milk packet = 15 × 8 × 5 = 600 cm³
Number of packets = 14,400 ÷ 600 = 24 packets
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(iii) Milk the cup can hold:
The passage states each milk packet contains 500 mL of milk. Since the cup holds the contents of one packet, the cup can hold 500 mL of milk.
Source: Case Study passage, Mensuration (Surface Areas and Volumes)
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Explanation
- (i) is straightforward — apply the volume formula directly.
- (ii) TSA formula must be written and each step shown. The OR alternative uses ratio of volumes — both are standard 2-mark approaches.
- (iii) The figure-based answer relies on the passage's stated capacity of 500 mL per packet; if the cup holds one packet's worth, the answer is 500 mL. (If your actual figure shows a cup with given dimensions like a cylinder/cone, apply the relevant volume formula instead and state the result in mL using 1 cm³ = 1 mL.)