Question

***WILL FAN AND MEDAL***

Students are doing a project to create a new candy box for M&M's in the shape of a rectangular prism. The new candy box needs to have a volume of exactly 24cm^3. What are two possible dimensions for the box if the volume must be exactly 24cm^3?

(1cm x 1cm x 18cm) and (2cm x 4cm x 3cm)

(2cm x 4cm x 3cm) and (6cm x 4xm x 1cm)

(2cm x 3cm x 3cm) and (1cm x 9cm x 4cm)

Answer 1

@Utterly_Confuzzled @TheSmartOne

Answer 2

If you multiply the different dimensions, which ones equal 24?

Answer 3

Do you know the formula for the volume of a rectangular prism? Just check each option. which one has both of the choices =24?

Answer 4

so do 1 x 1 x 18 then do 2 x 4 x 3 and then add the 2 values?

Answer 5

1x1x18 = ?
2x3x4 = ?
6x4x1 = ?
2x3x3 = ?
9x4x1 = ?

Answer 6

You shouldn't need to add them. Just multiply each set individually and there is one answer where both options equal 24

Answer 7

1 x 1 x 18 = 18

2 x 3 x 4 = 24

6 x 4 x 1 = 24

2 x 3 x 3 = 18

9 x 4 x 1 = 36

Answer 8

so B is the answer?

Answer 9

Right. The only 2 that equal 24 are 2x3x4 and 6x4x1 so whichever answer choice has both of those is your answer

Right, B is correct

Answer 10

Thank you! That was easier then I expected. XD :P

Answer 11

I'm glad!

Answer 12

I might need help on another question too.

Answer 13

Calculate the surface area of the two boxes above using the formula: SA = 2lw + 2lh + 2wh. Which of the two boxes has the larger surface area?

A

B

Answer 14

So do we do 29 x 3 x 2 and then just keep going?

Answer 15

On the first on, lets say that l=8, w=6, h=22, can you plug those values into the formula to see what you get?

Answer 16

sure hold on

Answer 17

That will give you the SA for the first box

Answer 18

So 2 x 8?

Answer 19

Im sorry I get kinda confused.

Answer 20

2x8x6 + 2x8x22 + 2x6x22 = SA

Answer 21

It's fine, there is no need to apologize!

Answer 22

Do you see how I got that?

Answer 23

Kinda-ish XD

Answer 24

ok let me try it out

Answer 25

And on the second triangle, if we assign l=29, w=16, h=23
Since SA= 2xlxw + 2xlxh +2xwxh ,
SA = 2x29x16 +2x29x23 +2x16x23

Does that make anymore sense seeing it step by step? I know it can get confusing someimes!

Answer 26

Okay!

Answer 27

So the surface area for the A is 264?

Answer 28

I got 712

Answer 29

... ._.

Answer 30

Because
2x8x6 = 96
2x8x22 = 352
2x6x22= 264
And you add those together

Answer 31

oops sorry I typed the wrong thing

Answer 32

It happens!

Answer 33

Can you see if you can get the second one?

Answer 34

Yea its 712

Answer 35

k hold on

Answer 36

Okay!

Answer 37

So the SA for B. is 2,998?

Answer 38

Exactly!

Answer 39

YAY

Answer 40

So B. is the answer.

Answer 41

Correct!!

Answer 42

Thank you!

Answer 43

You're welcome!

Answer 44

I wish I could give you another medal. :P

Answer 45

Seriously, don't worry about it, I'm just happy I was able to help!

Answer 46

XD Otay :3

Answer 47

I HAVE A QUESTION @Utterly_Confuzzled

Answer 48

Sent you a pm