A) 9, 8 and 10 cm
B) 12, 6 and 10 cm
C) 18, 4 and 10 cm
D) 30, 2 and 12 cm
Correct Answer: A
Solution :
Volume of the cuboid \[=720\text{ }c{{m}^{3}}\] Height of the cuboid \[=\frac{\text{Volume}\,\,\text{of}\,\,\text{the}\,\,\text{cuboid}}{\text{Base}\,\,\text{area}\,\,\text{of}\,\,\text{the}\,\,\text{cuboid}}\] \[=\,\frac{720}{72}=10cm\] Surface area of the cuboid \[=2\text{ }(Ib+bh+hI)\] \[=2(9\times ~8+8\times ~10+10\times ~9)\] \[=2\text{ }(72+80+90)\] \[=2\times ~242=484\text{ }c{{m}^{2}}\] \[\therefore \] It is obvious that length, breadth and height of the cuboid is 9cm, 8cm and 10 cm
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