Question

If each side of a cube be trebled how many times will its volume increase

Answer 1

Hi friend
--------------
Your answer
--------------------

Let the side of the cube be a.

Then,
------------


Volume of the cube = (a×a×a) = a³

When the side is tripled => 3a

New volume => (3a×3a×3a) = 27a³

Thus the volume becomes 27 times the original volume.

HOPE IT HELPS

#ARCHITECTSETHROLLINS

✯ BRAINLY STAR ✯

Answer 2

Let each side of cube = a
Then, its volume = a cube
Now each side is trebled
Therefore, each side of new cube = 3a
Then its volume = 27acube
If we compare the two volumes then we get that  volume of first cube after trebling is 27 times.
Therefore, the volume of new cube is increased by 27 times.