If the edge of a cube is tripled,
If the edge of a cube is tripled, then its volume increases to _______ times its original volume.
यदि किसी घन की कोर को तीन गुना कर दिया जाए, तो उसका आयतन, उसके मूल आयतन से _______ गुना हो जाता है।
Detailed Solution & Logic
Correct Answer:
27
Volume of a cube V = $ a^3 $
Original edge = a
New edge = 3a
Original volume = $ a^3 $
New volume = $ (3a)^3 = 27a^3 $
Increase factor = $ \frac{\text{New volume}}{\text{Original volume}} = $\frac{27a^3}{a^3} = 27 $
Answer = 27
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