Question

Check my answers please

Answer 1

1 and 2 are incorrect.

3 is correct.

Do you want me to elaborate or would you like to retry them yourself?

Answer 2

An explanation would be good. Math is by far my weakest subject

Answer 3

Yeah, math can be a real pain sometimes haha.

Give me a few minutes to put together my explanations.

Answer 4

For #2 I thought I had to just multiply the numbers

Answer 5

Well, you do have to multiply the numbers, but you have to add the areas of the multiple sides.

Answer 6

so the base * 2 + the 4 sides.

Answer 7

also I think 3 might be wrong as well, one second...

Answer 8

Well thats discouraging LOL.

Answer 9

Never mind, it's right. haha

Answer 10

Ah ok

Answer 11

if this is the prism you're talking about: http://www.teacherschoice.com.au/maths_library/area%20and%20sa/area_98.gif

Then yeah, no issues. I think they'd state is it was pyramidal.

Answer 12

Let me start with one:

So this is a space diagonal: http://mathworld.wolfram.com/images/eps-gif/SpaceDiagonal_1000.gif

Answer 13

You know Pythagoras' law:

\[a^2 = b^2 + c^2 \]

where a is the hypotenuse and /always/ greater than b or c

Answer 14

the (squared) length from the corners of the base is:

\[L^2 + W^2 \] =

In order to find D^2, you have to add \[(L^2 + W^2) + H^2\]

And then, to find D, you have to square it, so the answer is the last one.

Answer 15

I gave you some hints for 2, can you figure it out?

Answer 16

I'm failing to understand this.

Answer 17

I mean.. I got the first one.. but the second one still makes no sense... I thought what I was doing was right, that was what my teacher had explained.

Answer 18

Alright, let me go through this with you.

The rectangle has 6 sides yes?

Answer 19

every side has an area, you have to add them up to get the total surface area.

Answer 20

So, you have the top base and the bottom base. =

\[(4*3) * 2\] - when the top + bottom bases are added up.

Answer 21

The two "small sides", when added up =

\[(3*1) * 2\] - (Multiplying a number by 2 is the same as adding them together twice.)

Answer 22

repeat with the two larger sides =

\[(4*1) * 2\]

Answer 23

When added together you have:

8 + 6 +24 = 38

Answer 24

Interesting, I guess I've been wasting my time with public education because the explanation the class had received was irrelevant.

Answer 25

The only way that the answer would be 12 would be if they asked to find the area of the /base/

Answer 26

surface area means you have to find the area of all the sides and add them up.

Answer 27

*asked you

Answer 28

sort of weird that they're oriented in that fashion, but okay.

Answer 29

Each dash on the axis' = 1 unit yes?

Answer 30

assuming

Answer 31

Good enough, okay.

So point S is 3 points above origin on the z axis.

2 points from the origin on the x axis.

-5 points from the origin on the y axis.

so coordinates should be, in x,y,z form:

2, -5, 3

Answer 32

I'm a bit unsure of this, I haven't studied it, but i think my orientation is okay.

Answer 33

These are the options

Answer 34

I thought it was 2,0,3

Answer 35

ah yes of course, my bad.

Answer 36

if you flip it up, then s lines on y= 0 ,

Answer 37

in x,y,x form it should be 2,0,3

Answer 38

Hm ok, let me work the next problem out if you want to check it also

Answer 39

I have time for one more problem, so sure. c:

Answer 40

I really hope I'm right on that one. I was feeling pretty good about it

Answer 41

@AmandaSmith69

sorry but it is wrong. :c

The equation is:

\[\sqrt{( x_{1} - x _{2} )^2 + (y_{1} - y _{2})^2 +(z _{1} - z _{2})^2}\]

and the answer is 5.477

Answer 42

Thats what I followed!

Answer 43

I must be too tired for this :/

Answer 44

happens. :c