Answer: The economy box will hold 112 ounces.
Step-by-step explanation:
Since we have given that
A regular box of cereal holds = 14 ounces
Let the dimesion of regular box be x .
so, Volume of regular box is given by
[tex]x\times x\times x =x^3= 14[/tex]
According to question, if the box is made by doubling all the dimensions of the regular sized box.
So, volume becomes
[tex]2x\times 2x\times 2x\\\\=2^3\times x^3\\\\=8\times x^3\\\\=8\times 14\\\\=112\ ounces[/tex]
Hence, The economy box will hold 112 ounces.
