Tim and Tom use a liters of paint on a large shipping crate. If the next crate they need to paint has a similar shape, but twice the volume, how much paint should they plan on buying?

Assuming the shipping crate is a box wide sides = sso the volume of the crate is s^3

since the new crate is two times the volume so 2s^3then solve the side of the new crate

x = (2s^3) ^ (1/3) x = 1.26s

solving the surface area of the new crate

a = 6x^2a = 6 (1.26s) ^2a = 6 (1.58s^2) so tim and tom should buy 1.58 times the original paint