Question

Find the length of the base of a square pyramid if the volume is 576 cubic inches and has a height of 3 inches.
4 inches
8 inches
16 inches
24 inches

Answer 1

Volume of a pyramid = ( Length x Width x Height ) / 3
if the base is a square:
Length = width
so
Volume of a pyramid = ( Length x Length x Height ) / 3
\(\Large V = \frac{L \times L \times H}3\)
if you have the volume and the height... can you solve this for Length?

Answer 2

would the length be 576 and the height 3?

Answer 3

no, V = 576 and h = 3

Answer 4

oh ok sorry um.. im just wondering idk what length would be because i only have volume and height

Answer 5

sók... yep, we're trying to solve the length
if u plug the values for volume and height into the above equation... you should be left with L^2 = ... a number

Answer 6

ok 576/3 would be 192 right ??

Answer 7

\(\Large V = \frac{L \times L \times H}3\)
\(\Large 576 = \frac{L \times L \times 3}3\)
\(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\)
\(\Large 576 = L \times L \)
\(\Large 576 = L^2 \)
\(\Large \sqrt{576} = \sqrt{L^2} \)

\(\Large \sqrt{576} = L \)

Answer 8

sorry does this make it clearer tho?

Answer 9

a little bit im still kinda confused bu ti some what understand

Answer 10

does the picture help?
where abouts are you getting stuck and I'll try to explain it better

Answer 11

i was just confused at the part of where we had to find the length. but that chart u showed does help a little

Answer 12

cools... so how'd u go at solving, did u get an answer for L = ...?

Answer 13

no i was still figuring it out

Answer 14

@Jack1 i dont understand what to next in the equation i keep getting confused

Answer 15

ok, well lets back it up, and you tell me which step ur having trouble with and we'll go through it together
so just say yes or no after each step, and well either keep going or explain more
so
1.
\(\Large V = \frac{L \times W \times H}3\)
2.
"base of a square pyramid"... so from question, we know it's a square pyramid
so the base is a square
Length = Width
new equation:
\(\Large V = \frac{L \times L \times H}3\)

all cool so far?

Answer 16

got it (:

Answer 17

nice
3.
from the question again:
"Find the length .... if the volume is 576 cubic inches and has a height of 3 inches. "

so find L
if V = 576
and h = 3

put the values of V and H into our equation
new equation:

\(\Large V = \frac{L \times L \times H}3\)

\(\Large 576 = \frac{L \times L \times 3}3\)

still with me?

Answer 18

sorry i was away from my computer but i understand still (:

Answer 19

all good
4.
there's a 3 top and bottom in the fraction, so it's times 3 and then divide by 3... so they cancel eachother out

\(\Large 576 = \frac{L \times L \times \color{red}{3}} {\color{red}{3}}\)

\(\Large 576 = \frac{L \times L \times 1} 1\)

\(\Large 576 = L \times L \)

\(\Large 576 = L^2 \)

all cool still?

Answer 20

ohhh ok i understand thats were i was confused before (:

Answer 21

got it then, sweet!
so are you ok to solve from here?

Answer 22

yea i think so um.. for the last where it say 576=L/2 would then be 576= 2x2?

Answer 23

no, that's L squared, so 576 = L x L
so if you take the square root of both sides
you're left with :
____ (number?) = L

Answer 24

oooh ok im sorry i feel like a dork now the 24=L correct (:

Answer 25

yep, perfect! ;)

Answer 26

and only dorks use the word dork :P

Answer 27

lol thanks ^w^ you dont mind helping me with a few more questions do you ??

Answer 28

sure there's a lot of LaTex in this post tho, so maybe open a new one so it's faster?

Answer 29

oh ok (: