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Question 8

The surface area of the three coterminus faces of a cuboid are 6, 15 and 10cm2, respectively. The volume of the cuboid is
(a) 30 cm3           (b) 40 cm3            (c) 20 cm3            (d) 35 cm3


Solution

If l, b and h are the dimensions of the cuboid. Then,
Volume of the cuboid           =l×b×h
Here,                                   6=l×b
                                            15=l×h
                                            10=b×h
                        6×15×10=l2b2h2
                         Volume=l×b×h
                                             =6×15×10=30 cm3


Mathematics

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