Three cubes each having an edge 4 cm are joined together. Find the surface area of the cuboid thus formed. Is this surface area equal to the sum of the surface areas of the three separate cubes?
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Answer:
i) 224 cm^2 ii) No
Step-by-step explanation:
3 cubes of edge 4cm are joined end to end, then length of cuboid=4+4+4=12cm
breadth and height=4cm
Surface area=2(lb+bh+lh)
=2(12×4+4×4+12×4)
=2(48+16+48)
=2(112)
=224cm
Surface area of seperate cubes = (6a^2)3
6*4*4*3
288 cm^2
Hence surface area is not same
Hope it helps!
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