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2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
A room is 6 m long, 4 m wide and 3 m high. What is the total area of its four walls?
Two cuboids that have the same volume must also have the same total surface area.
A box without a lid is to be made from cardboard. The box is 60 cm long, 40 cm wide and 50 cm high. How much cardboard (in cm²) is needed? (Ignore overlaps.)
A shopkeeper can pack sweets either in a cube-shaped box of edge 10 cm or in a cuboidal box 12 cm × 10 cm × 8 cm. Which box needs less cardboard to make, and by how much? Do both boxes hold the same amount?
A solid metal cube of edge 12 cm is melted and recast into a cuboid with a base of 18 cm × 8 cm. Find (i) the height of the cuboid, and (ii) how much more (or less) surface area the cuboid has than the cube.
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