Question
Download Solution PDFIf the edge of a cube is tripled, then its volume increases to _______ times its original volume.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If the edge of a cube is tripled, then its volume increases to _______ times its original volume.
Formula used:
Volume of a cube = a3
Calculation:
Let the original edge length be 'a'.
Original volume = a3
If the edge is tripled, new edge length = 3a
New volume = (3a)3
⇒ New volume = 27a3
The increase in volume = New volume / Original volume
⇒ Increase in volume = 27a3 / a3
⇒ Increase in volume = 27
∴ The correct answer is option 2.
Last updated on Jul 8, 2025
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