NCERT · Class 8 · Mathematics · MensurationIf each edge of a cube is doubled, how many times will its volume increase?
Step-by-Step Solution
Let original edge be $a$, so original volume $V = a^3$. New edge $= 2a$, so new volume $V' = (2a)^3 = 8a^3 = 8V$. Thus, volume increases 8 times.
Detailed Options Breakdown
Option : $8$ times (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $4$ times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mensuration.
Option 2: $2$ times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mensuration.
Option 3: $6$ times
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Mensuration.
💡 Study Guide: This question tests core syllabus concepts from Mensuration. For formulas, key summaries, and mock exam reference guides, read the full Mensuration Revision Notes.