What is the increase in the volume of a cube of 1 unit edge if each of its edges is tripled?

the length of each edge of the cube initially = 1

Volume of the cube initially = $$(length\ of\ edge)^3$$

= $$1^3$$

= 1 cu units

if each of its edges is tripled.

length of each edge of the cube after the change in the edge = $$3\times1$$

= 3 units

The volume of the cube after the change in the edge = $$3^3$$

= 27 cu units

So change in the volume of cube = 27-1

= 26 cu units

So the increase in the volume of a cube is 26 cu units.