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 ____.
Answer: Option A
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A
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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 =144 cm3
Since volume of a cuboid is calculated as ′l×b×h′, the required volume is 144 cm3.
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