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II More packing proble:m.s II II II
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QJ The toy shop owner completely filled a storage box,
measuring 12 cm by 12 cm by 12 cm, with dice.
Each dice has an edge length of 3 cm.
Work out how many dice were stored in the box.
[!] The shop also sells giant dice with edges twice as long.
a Decide if the same box can be exactly filled
with the giant dice, and explain why.
b Work out how many giant dice will fit in the box.
@] The store has 24 Jack-in-the-boxes,
each in a cube with an edge length of 5 cm.
They are kept in a tray 20 cm wide and 30 cm long.
Work out if all the Jack-in-the-boxes will fit
in a single layer in the tray.
[±_] Packs of Happy Family cards
are 1 0 cm by 6 cm by 2 cm.
Work out how many packs will fit
in a box which is 30 cm
by 12cm by 4cm.
CHALLENGE
• If the height of a cuboid is halved,
what must be done to the other dimensions
so that the volume stays the same?
• Show how you decide.
I STEPS 5:17 I