Question

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?

Answer 1

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