Question

3. If each side of a cube is increased by 2 cm, the
volume increases by 488 cm! Find the side of
the cube.
​

Answer 1

Step-by-step explanation:

Let each side of square be X cm

so volume of cube = x^3

according to question , (X+2)^3-X^3 = 488

so, x^3 +8+6x^2+12x - x^3 = 488

so, 6x^2+12x-480= 0

so,6x^2-48x+60x-480=0

so,6x(X-8) + 60(X-8)= 0

so, (6x+60)(x-8)=0

so,X=8 cm.