The volume of the box is 3072 cm^3. Getting the dimensions given the ratio 1:2:3, we can formulate the equation deriving it from the formula of the volume of the box: Volume = l * w * h Volume = 1x * 2x * 3x 3072 = 1x * 2x * 3x 3072 = 6x^3 x^3 = 512 x = cube root (512) x = 8 cm 2x = 16 cm 3x = 24 cm