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Question
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
Options
24
48
72
96
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Solution
Let,
l → Length of the first cuboid
b → Breadth of the first cuboid
h → Height of the first cuboid
Volume of the cuboid is 12 cm3
Dimensions of the new cuboid are,
Length (L) = 2l
Breadth (B) = 2b
Height (H) = 2h
We are asked to find the volume of the new cuboid
We know that,
Volume of the new cuboid,
V' = LBH
= (2l)(2b)(2h)
= 8(lbh)
= 8V { Sincr , V = lbh}
= 8 × 12 { Since , V = 12 cm 3 }
= 96 cm3
Thus volume of the new cuboid is 96 cm3.
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