Question

A box is packed with 18 cans of cola. The radius of the base of one can of cola is 1 inch, and the height is 5 inches. The length of the box is 12 inches, the width is 6 inches, and the height is 5 inches. In cubic inches, how much empty space is left inside the box?

Answer 1

77.4

Explanation:

Answer 2

`77.4\ in^3`

Explanation:

we know that

To find out how much empty space is left inside the box, subtract the volume of 18 cans of cola from the volume of the box

step 1

Find the volume of the box

The volume of the box is equal to

`V=LWH`

substitute the given values

`V=(12)(6)(5)`

`V=360\ in^3`

step 2

Find the volume of the can of cola

The volume of a cylinder is equal to

`V=\pi r^(2) h`

we have

`r=1\ in`

`h=5\ in`

substitute

`V=\pi (1)^(2) (5)`

`V=5\pi\ in^3`

Multiply by 18 (18 cans of cola)

`V=(18)5\pi=90\pi\ in^3`

step 3

Find how much empty space is left inside the box

`V=(360-90\pi)\ in^3` ---> exact value

assume

`\pi =3.14`

`V=360-90(3.14)=77.4\ in^3`