Question

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

Answer 1

(A) V=1/12s^3 (B) V=1/6s^3 (C) V=1/3s^3 (D) V=3s^3 (E) V=6s^3

Answer 2

@hero

Answer 3

@PeterPan could you be of help on this problem.

Answer 4

I remember the Ancient Egyptians doing this sort of thing :D

The volume of a pyramid is equal to one third of the product of its length, width, and height.

What say you? ^.^

Answer 5

So it is C?

Answer 6

how did you get C?

Answer 7

It has 1/3 in it.

Answer 8

haha
they all have 1/3 in them, hidden somewhere XD

Look, what are the length, width, and height of this pyramid? :)

Answer 9

width is = to s. the height is 1/2 of s. Not sure about the base.

Answer 10

i mean length

Answer 11

Not sure about length, but you're sure about width?
Silly Mr. Man, it's a square base ^.^

Answer 12

It is isn't it haha.

Answer 13

It makes things so much easier when they give a picture. Im a better when i can see it with my eyes.

Answer 14

Okay, length is s, width is s, height is half of s.
Multiply these three, you get...what?

Answer 15

Is sxs 2s or s^2

Answer 16

Oh no :O

Answer 17

You're so lost.... lost boy (man?) LOL

sxs = s^2
s+s = 2s

know the difference, mister :P

Answer 18

I am lost (: thanks for puttin up with this.

Answer 19

i've put up with worse..... ;)
now multiply s, s, and \(\large \frac12s\)

Answer 20

kk sxs=s^2 then i multiply that by .5, but i get 1. so would it just be (s)?

Answer 21

maybe this class is a little too hard? :3

Answer 22

well, for now, anyway :D

There's just so many things wrong with your logic, that I'm trying to find where to begin... now wait a sec...

Answer 23

Regardless if you guide me to my answer or not. You'll be receiving a nice little testimonial.

Answer 24

Okay, first of all, you are multiplying three things...
\[\large s\]\[\large s\]and\[\frac12s\]

So, what's their product?
And for heaven's sake, s^2 times 0.5 is not s, you just treated s^2 as 2s, lol

Answer 25

Cat got your tongue, Mr. Man?
What IS your name, anyway? ^.^

And if you want, I'll give a hint :)

Answer 26

My name is Austin. I'm racking my brain, but I'll take a hint if you would. If you could believe it i'm actually pretty good at math.

Answer 27

You're pretty good in maths? Of course I believe that :D
You're like, way older than I am, after all XD

And we all have our off-days

Now, when you multiply two variables, just add their exponents.
Like this:
\[\Large n \times n = n^2\]
When you multiply them with numbers, just attach the number...
\[\Large 5\times m = 5m\]

Combine them,
\[\Large 5p \times 4p = (5\times4)p^2=20p^2\]

That being said, what's the product of...
\[\Large s \times s \times \frac12s = 1s\times 1s\times \frac12s=\color{red}?\]

Answer 28

oh, and when a variable has no exponent, it's understood that the exponent is 1.
that should give you a good start at things :)

Answer 29

You have a nasty habit of disappearing and or staying eerily quiet...
You're not a wall, are you? ^.^

Answer 30

Nice hint(: No wall here haha. I just feel dumb i know how simple that little equation is, but it just isnt clicking.

Answer 31

okay, one at a time...
you multiply 3 s's right?
so you should have s^3 there somewhere.
(obviously. all your answer choices involve s^3, did you notice? XD)
right?

Answer 32

YEa i got that.

Answer 33

Okay, so you have s^3
and you multiply their coefficients...1, 1, and 1/2
What's the product?

Answer 34

.5

Answer 35

Stick to 1/2
It's the same.

So the product of s, s, and 1/2s was simply
\[\Large \frac12s^3\] after all.

Answer 36

(: 1/2 s^3 seemed to simple.

Answer 37

yup. so what's your final answer?

Answer 38

1/2 s^3 ?

Answer 39

You wish.
That's not even in your choices XD

Answer 40

You weren't listening to me... were you?

Answer 41

That's what i was thinking. I'm still rather lost. What you say that i missed?

Answer 42

did*

Answer 43

hmm...
look back.
the very first thing I told you.
read it again :D

Answer 44

The volume of a pyramid is equal to one third of the product of its length, width, and height. So i would now multiply (1/3)(1/2 s^3).

Answer 45

Righty-oh :3

Answer 46

Today just isn't my day. Ok the answer is (B).

Answer 47

That wasn't so bad, was it? ^.^

Answer 48

Woooo you can say that again!! Thank you so much @PeterPan

Answer 49

What's with the tagging? I'm already here, silly.
And while I'm here, just call me Peter, *Austin*
(that or Pan... that's what my friends call me ^.^)

And for goodness' sake, practice XD

Answer 50

Definately Pan (: I'll be practicing can't get showed up like that again.

Answer 51

I'll "motivate" you, shall I?
I'm 14 XD

Answer 52

And truth be told, this looks like a problem I'd have been given two years ago... are you getting rusty or something? XD

Answer 53

I just pushed off some of my math credits for too long. Need to get my priority's straight.(:

Answer 54

it's 'priorities' :P
What have you been doing, I wonder?
Is your head floating someplace else? XD

Answer 55

Hense the name.(: Did you get my testimonial?

Answer 56

Of course I did.
How very touching :)
thanks ^.^

Answer 57

Anytime(: