Mathematics
The dimensional ratio of the sides of a cuboid is 3 : 2 : 1. If its volume is 1296 cm3; the actual dimensions of the cuboid are :
12 cm, 12 cm and 8 cm
8 cm, 8 cm and 12 cm
12 cm, 12 cm and 12 cm
18 cm, 12 cm and 6 cm
Mensuration
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Answer
Given:
Volume of cuboid = 1296 cm3
Dimensions of cuboid = 3 : 2 : 1
Let the sides of cuboid be 3a, 2a and a.
Volume of cuboid = l x b x h
⇒ 3a x 2a x a = 1296 cm3
⇒ 6a3 = 1296 cm3
⇒ a3 = cm3
⇒ a3 = 216 cm3
⇒ a = cm
⇒ a = 6 cm
Sides are 3a, 2a and a = 3 x 6 cm, 2 x 6 cm and 6 cm
= 18 cm, 12 cm and 6 cm
Hence, option 4 is the correct option.
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