Question -
The surface areas of six faces of a cuboid are 12, 12, 36, 36, 48, 48, (all in cm2). The volume of the solid in cm3, is ____.
Options:
A .  144 cm3
B .  169 cm3
C .  64 cm3
D .  216 cm3
Answer: Option A : A Let the dimension of a cuboid be l, b, and h. Since the six surface areas are given: ⇒ l ×b = 12.......................................(1) ⇒ b×h=36.......................................(2) ⇒ l ×h= 48.......................................(3) Now multiplying equation (1),(2) and (3), we get ⇒(l×b)×(b×h)×)(l×h)=12×36×48 ⇒(l×b×h)2=20736 ⇒(l×b×h)=√20736=144cm3 Since volume of a cuboid is calculated as ′l×b×h′, the required volume is144cm3.
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