Question

A food company is designing boxes for several products each box is a rectangular prism the company makes a single serving cereal box that contains 1.2 ounces of cereal. they plan to make an extra large box for school cafeterias the extra large box will be a dilation of the single serving box using a scale factor of 4 how many ounces of cereal will the extra large box contain

Answer 1

The extra large box will contain 76.8 ounces of cereal.

Explanation:

Rectangular prism:

A rectangular prism has three dimensions. The length(l), the height(h), and the width(w). The volume is:

V = l*h*w

In this question, the volume is of 1.2 ounces of cereal. So

l*h*w = 1.2

Dilation:

Scale factor of 4, which means that each dimension will be multiplied by 4. So

l = 4*l, h = 4*h, w = 4*w

So the volume of the extra large box will be:

V = 4*l*4*h*4*w = 4*4*4*l*h*w = 64*l*h*w

Since l*h*w = 1.2

The volume of the large box is:

V = 64*l*h*w = 64*1.2 = 76.8

The extra large box will contain 76.8 ounces of cereal.