A cuboid of length 20 cm by 16 cm by 8 cm is melted to form smaller cubes of length 4 cm. What is the number of cubes that can be obtained?
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3
Answer:
Correct option is
C
7:24
Number of cubes =
Volumeofcube
Volumeofcuboid
=
1×1×1
8×4×2
=64
Surface area of cuboid =2×(8×4+4×2+2×8)cm
2
=2×(32+8+16)cm
2
=112cm
2
Surface area of 64 cubes =64×6cm
2
=384cm
2
∴ Required ratio =
384
112
=
24
7
=7:24
Step-by-step explanation:
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