ShmoopTube

00:00

Thank you We sneak and here's your shmoop too sure

00:05

brought to you by cardboard boxes as the great kenny

00:08

rogers once said campbell you gotta know how to fold

00:13

some cardboard boxes It's old boxes dance mother gives him

00:18

a room clinton ultimatum and he ends up cleaning five

00:21

hundred cubic feet of junk out of his room If

00:23

dan wants to take out all the junk in on

00:26

ly five identical boxes that have a base of five

00:29

feet squared how tall would the boxes have to be

00:33

and hear the potential answers All right dan is awfully

00:37

particular about his garbage It's garbage Dan what do you

00:41

care What size boxes there in it's Not like you're

00:43

giving it away for christmas Laura are you all right

00:46

So there's five hundred cubic feet of garbage And dan

00:48

wants back all this trash away in five identical boxes

00:51

Well the math there is pretty easy Each box will

00:54

have to contain five hundred divided by five or one

00:56

hundred cubic feet of well crap hole up from here

00:59

though We'll need to use one of our trusty formulas

01:02

In this case the one for a rectangular prison A

01:05

box volume equals length times With times height equals lula

01:11

all right We're not seeing any length or with measurements

01:13

in the original problem but it does tell us that

01:16

the base has an area of five square feet and

01:19

we hopefully recognize that the area is the same as

01:22

length times width So there are two pieces of our

01:24

formula right there since all we're missing now is the

01:27

height we can plug in chuck by substituting one hundred

01:30

for the volume and five for length times With that

01:34

leaves us with one hundred equals five times the height

01:37

And when we divide both sides by five we get

01:40

h equals twenty answer Choice Be wow twenty foot tall

01:44

boxes Good luck getting your friendly sanitation workers to take

01:47

those away on garbage day Dan In fact you'll be

01:50

lucky if you still have a mailbox on thursday morning

Full Transcript