Question

If the edge of a cube is tripled, then its volume increases to_____________ times to its original volume.

• A. 64
• B. 27
• C. 8
• D. 9

Answer 1

Answer:

B. 27

The volume of a cube is proportional to the cube of its edge.

Let the original edge be (a).
Original volume (= a^3).

If the edge is tripled, new edge (= 3a).

New volume:
$(3a)^3 = 27a^3$

The volume becomes 27 times the original volume.