Question

A regular box of cereal holds 14 ounces. If an economy box is made by doubling all the dimensions of the regular-sized box, how many ounces will the economy box hold? ...?

Answer 1

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

$x\times x\times x =x^3= 14$

According to question, if the box is made by doubling all the dimensions of the regular sized box.

So, volume becomes

$2x\times 2x\times 2x\\\\=2^3\times x^3\\\\=8\times x^3\\\\=8\times 14\\\\=112\ ounces$

Hence, The economy box will hold 112 ounces.

Answer 2

Doubling all the dimensions by a factor of 8, means that 
14 x 8 = 112 ounces