Question
Download Solution PDFThe length, breadth and height of a cuboid are in the ratio 3 ∶ 4 ∶ 5 and its volume is 3840 cm3, The smallest side has a length of :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The length, breadth, and height of a cuboid are in the ratio 3 ∶ 4 ∶ 5 and its volume is 3840 cm3.
Formula used:
Volume of cuboid, V = l × b × h
Calculation:
Let the common ratio be x.
Then, length = 3x, breadth = 4x, height = 5x.
Volume = 3x × 4x × 5x = 3840 cm3
⇒ 60x3 = 3840
⇒ x3 = 64
⇒ x = 4
Smallest side (length) = 3x = 3 × 4
⇒ 12 cm
∴ The correct answer is option (1).
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