Question

Each side of cube is
increased by 2cm, the volume
increase by 408cm cube. Find
the side of cube?​

Answer 1

Answer:

7.22 cm

Step-by-step explanation:

let the original side of cube be a

Volume = a^3

Now increased side = (a+2)

Increased Volume = (a+2)^3

now

(a+2)^3 - a^3= 408

using the formula for a^3 -b^3

(a+2-a){(a+2)^2 + a^2 + (a+2)a}= 408

(a^2 +4 +4a +a^2 + a^2 +2a)= 204

(3a^2 +6a - 200)= 0

a=7.22 cm