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? ...?

Question

asked Aug 7, 2017 195k views

2 Answers

Nazarudin · Answer 1 · 2017-08-10T08:35:14+0000

Answer: The economy box will hold 112 ounces.

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* x* 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

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

Hence, The economy box will hold 112 ounces.