Question

A workbox has the following interior dimensions:
length - 5"
width - 31/2 "
height - 4"
What is the interior volume of the workbox?

Answer 1

@acxbox22

Answer 2

@ganeshie8
@phi
@amistre64
@themaster
@mathmale
@hoblos

Answer 3

What have you thought of doing so far?
Suppose that you knew that the area of the bottom of the box were 20 square inches the height 4 inches. What would the volume be?

Answer 4

?uhh 70

Answer 5

In general, the volume of a container of bottom area B and height H is just B*H.

I told you that the area of the bottom of your box is B=20 square inches and the height is H=4inches. What's the volume? Try again. Perhaps use a calculator?

Answer 6

80

Answer 7

80 cubic inches, OK? That's how we measure volume in this case.

Answer 8

how do i get volume

Answer 9

i got multiple choice 75, 74 ,73 or 70

Answer 10

The volume of the sample box whose dimensions I gave you is just that: 80 cubic inches.


A workbox has the following interior dimensions:
length - 5"
width - 31/2 "
height - 4"
What is the interior volume of the workbox?

Now suppose that the length of the bottom of the box is 5 inches and the width is 20 inches. What is the AREA of the BASE, B?

Answer 11

81 1/2

Answer 12

I would like very much to help you understand how to solve these problems on your own. If you must press me to come up with the right answer right away, I'm not comfortable.

I'm working with you to get you through examples; once you can do the examples, you can do the actual problem. Is this OK?

Answer 13

sure

Answer 14

Same example: Now suppose that the length of the bottom of the box is 5 inches and the width is 20 inches. What is the AREA of the BASE, B? Use your calculator if you have one.

Answer 15

100 sq inches

Answer 16

Much better. :)
Now suppose that same box has a depth of 2 (depth would be another name for the height of the inside of the box). What is the volume of this sample box, if B=100 sq in and A = 2 in? Be sure to use the right units of measurement.

Answer 17

Remember, as I have defined it, the box volume is simply A*B (A times B).

Answer 18

200 inches sq

Answer 19

200 CUBIC inches.

Answer 20

oh

Answer 21

Area is measured in square inches; volume in cubic inches.

Answer 22

isnt cubic \[^{3} and sqaure ^{2}\]

Answer 23

A workbox has the following interior dimensions:
length - 5"
width - 31/2 "
height - 4"
What is the interior volume of the workbox?

OK. Let's do your actual homework problem. What is the area, B, of the base, if the length is 3 1/2 inches (7/2) inches, and the width is 5 inches? Use your calculator.

Answer 24

17 1/2

Answer 25

inches sqaured

Answer 26

Great. At least the numeric value is great. But what about the units of measurement of area?

Answer 27

You got there just before I did. :)

Answer 28

im fast

Answer 29

So, the aera of the base, B, is 17.5 square inches. If the height is 4 inches, what is the interior volume of the box?
B=17.5 sq. in.
H=4 in.

Answer 30

so for volume i multiply length times width times height

Answer 31

17.5 times 4 is 70 cubic inches

Answer 32

Yes, but remember that you've already calculated the base area, B, and got 17.5 sq. in.

If you want to start from scratch and mult. length time width times height, that's fine, that's gerat, and your result is PERFECT.

Answer 33

I know this discussion took a bit of your time, but I'd be willing to bet that you learned something valuable that you can apply next time you have to find the volume of a box.

Answer 34

thanks for bearing with me. Nice work.

Answer 35

thanks for help

Answer 36

And thanks for the medal!

Answer 37

you earned it