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Australian AMC 2013 - Upper Primary Question 18

AMC AUSTRALIA · Australian AMC 2013 - Upper Primary

Question 18

A school builds a raised vegetable patch in its garden by joining four panels to form an open-ended prism and filling it with soil. Each of the thin plastic panels has sides of length 40 cm and 80 cm. Jessie wants to stand the panels on their long side and Tom wants to stand them on their short side as shown.

Question illustration

Which statement is true?
  1. It is impossible to calculate the volume of soil needed to fill the vegetable patch.
  2. It is impossible to compare the volumes of soil needed to fill the vegetable patch.
  3. Both vegetable patches need the same volume of soil.
  4. Jessie’s vegetable patch needs more soil than Tom’s.
  5. Tom’s vegetable patch needs more soil than Jessie’s.