imagine a warehouse that has a rectangular floor and that contains all of the boxes of breakfast cereal bought in the united states in one year if the warehouse 10 feet tall what could the side lengths of the floor be

Question

contestada

Respuesta :

calculista calculista · Answer 1 · 2020-02-22T02:31:16+01:00

Answer:

see the explanation

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the volume of a typical cereal box

[tex]V=LWH[/tex]

substitute the given values

[tex]V=(2.5)(7.75)(11.75)=227.65625\ in^3[/tex]

Convert to cubic feet

Remember that

[tex]1\ ft=12\ in[/tex]

so

[tex]1\ ft^3=1,728\ in^3[/tex]

so

[tex]227.65625\ in^3=(227.65625/1,728)\ ft^3[/tex]

step 2

Find the volume of all of the boxes of breakfast cereal bought in the united states in one year

Multiply the volume of one box by 2.7 billion boxes

[tex](227.65625/1,728)(2,700,000,000)=355,712,890.625\ ft^3[/tex]

step 3

If the warehouse is 10 feet tall what could the side lengths of the floor be?

Divide the volume by the height to obtain the area of the rectangular base

[tex]A=(355,712,890.625)/10=35,571,289\ ft^2[/tex]

If the floor were a square, the dimensions would be

5,964 ft by 5,694 ft approximate