Can someone help me with this question plsssss | Mathematics | Page 1

atomic kindleBOT Mar 18, 2025, 8:05 PM

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austere vortex Mar 18, 2025, 8:07 PM

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You know about Archimedes law, right?

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Also, what unit is this in?

pure bobcat Mar 18, 2025, 8:09 PM

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austere vortex You know about Archimedes law, right?

ye but...we don't know the weight?

pure bobcat Mar 18, 2025, 8:09 PM

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austere vortex Also, what unit is this in?

idk it's just any units ig

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and we don't know the density

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it's meant to be a math question, so i don't think we will have to use a phy topic. There has to be a math way?

pure bobcat Mar 18, 2025, 9:39 PM

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@austere vortex

pure bobcat Mar 19, 2025, 3:29 AM

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<@&1309522179368419349>

pure bobcat Mar 19, 2025, 6:59 AM

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I know what the volume of the cuboid is - 10x^2

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And the volume of the water = volume of cylinder tank up to 10 units - volume of the cuboid

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So, 3600-10x^2

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This is all when the square face of the cuboid is touching the cylinder’s bottom surface

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And this is orientation 1

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Now orientation 2 is when the rectangular face of the cuboid is touching the cylinder’s bottom surface

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But now the water level drops by one unit which suggests that not all of the cuboid is submerged in the water

pure bobcat Mar 19, 2025, 9:04 AM

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<@&1309522179368419349>

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That’s all I’ve tried, I don’t know what else to do

fluid lichen Mar 19, 2025, 9:18 AM

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@pure bobcat the water level does not drop further

pure bobcat Mar 19, 2025, 9:21 AM

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^^^

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@fluid lichen it does, it says in the question

fluid lichen Mar 19, 2025, 9:23 AM

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@pure bobcat my calculations shows that it drops 0 level

pure bobcat Mar 19, 2025, 9:23 AM

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fluid lichen <@1339683465121103963> my calculations shows that it drops 0 level

Can I see it?

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That can’t be right because if you take the cuboid out then the water level should decrease as a result of decreased volume

fluid lichen Mar 19, 2025, 9:38 AM

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The volume of the box and squared base is the same

austere vortex Mar 19, 2025, 10:33 AM

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pure bobcat <@1245133657690214403>

Sorry, I was studying

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I'm a bit tired right now but I'm trying to comprehend the problem

pure bobcat Mar 19, 2025, 11:04 AM

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austere vortex Sorry, I was studying

Np

pure bobcat Mar 19, 2025, 11:05 AM

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fluid lichen The volume of the box and squared base is the same

The volume of the square based cuboid is 10x^2, right?

charred thicket Mar 19, 2025, 4:05 PM

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pure bobcat The volume of the square based cuboid is 10x^2, right?

some of the box is peeking out

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that’s what is happening

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and you need to find the height of the cylinder thingy

pure bobcat Mar 19, 2025, 5:46 PM

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charred thicket some of the box is peeking out

ohh ye i thought abt it

pure bobcat Mar 19, 2025, 5:46 PM

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charred thicket some of the box is peeking out

since it is some of the cuboid is not fully submerged in the water, x has to be greater than 10?

charred thicket Mar 19, 2025, 5:51 PM

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doesn’t have to be i don’t think

pure bobcat Mar 19, 2025, 5:52 PM

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ohh why tho?

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i mean ik this info might not be useful

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but still

charred thicket Mar 19, 2025, 5:53 PM

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pure bobcat ohh why tho?

i can’t really know because

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the submerged area also changes

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when you flip

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so i don’t think it’s necessarily that

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i’d just try another way of solving

pure bobcat Mar 19, 2025, 5:53 PM

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hmmm

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we know an expression for the volume of the water tho

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I know what the volume of the cuboid is - 10x^2
And the volume of the water = volume of cylinder tank up to 10 units - volume of the cuboid
So, 3600-10x^2
This is all when the square face of the cuboid is touching the cylinder’s bottom surface
And this is orientation 1
Now orientation 2 is when the rectangular face of the cuboid is touching the cylinder’s bottom surface
But now the water level drops by one unit which suggests that not all of the cuboid is submerged in the water

charred thicket Mar 19, 2025, 6:05 PM

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pure bobcat I know what the volume of the cuboid is - 10x^2 And the volume of the water = v...

i would caution saying the cylinder container has height 10

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unless i’ve misread a question again 🤣

pure bobcat Mar 19, 2025, 6:06 PM

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charred thicket i would caution saying the cylinder container has height 10

no?

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the cuboid has height 10

charred thicket Mar 19, 2025, 6:06 PM

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yea

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how about the cylinder container tho

pure bobcat Mar 19, 2025, 6:06 PM

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they didn't really mention anyting abt the cylinder

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sad

charred thicket Mar 19, 2025, 6:07 PM

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cuz

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3600 is

pure bobcat Mar 19, 2025, 6:07 PM

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ahh 3600 is the volume of the cylinder upto the height 10

charred thicket Mar 19, 2025, 6:07 PM

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ah ok

pure bobcat Mar 19, 2025, 6:07 PM

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bcuz that's where the water is filled upto

charred thicket Mar 19, 2025, 6:08 PM

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oh is it implying water is added so it reaches the top of the cuboid

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that’s so stupid

pure bobcat Mar 19, 2025, 6:08 PM

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yes

charred thicket Mar 19, 2025, 6:08 PM

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they could’ve said that in the question 0/10 question design

pure bobcat Mar 19, 2025, 6:09 PM

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'When the box is in the tank of water with a square face against the bottom of the tank, the water reaches the top of the box.'

pure bobcat Mar 19, 2025, 6:09 PM

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charred thicket they could’ve said that in the question 0/10 question design

😆

charred thicket Mar 19, 2025, 6:09 PM

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nvm it’s in the next sentence

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gah

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ok nvm then

pure bobcat Mar 19, 2025, 6:09 PM

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👍

charred thicket Mar 19, 2025, 6:10 PM

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well then yk how much volume happens when the water level lowers

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so try making an equation for that

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i think that solves? idk if more conplications arise

pure bobcat Mar 19, 2025, 6:12 PM

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idk either

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i tried to set the volume of the water equal to each other

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so, 3600-10x^2 = 360(9)-10x^2

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but that doesn't make any sense

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so im confused

charred thicket Mar 19, 2025, 6:50 PM

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pure bobcat so, 3600-10x^2 = 360(9)-10x^2

try picturing the prism again from the rectnaglular base

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and the figure out length width height

pure bobcat Mar 19, 2025, 6:51 PM

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The dimensions of the cuboid?

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Or the cylinder?

pure bobcat Mar 19, 2025, 7:21 PM

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@charred thicket

charred thicket Mar 19, 2025, 7:22 PM

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cuboid

pure bobcat Mar 19, 2025, 7:22 PM

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We Alr have the dimensions?

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x, x and 10

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The volume is 10x^2

charred thicket Mar 19, 2025, 7:28 PM

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well

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are you sure?

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what if the box is sticking out a bit

pure bobcat Mar 19, 2025, 8:08 PM

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charred thicket what if the box is sticking out a bit

It still has the same dimensions, because the box doesn’t change when u change the orientation

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It says in the q

charred thicket Mar 19, 2025, 8:41 PM

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pure bobcat It still has the same dimensions, because the box doesn’t change when u change t...

if the top isn’t submerged

pure bobcat Mar 19, 2025, 8:41 PM

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ohh u mean the volume of the cuboid which is submerged?

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ahh i get it now

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i thought u were just asking for the volume as a whole

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mb

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then the height is gonna be x-9?

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and the other dimensions are the same

charred thicket Mar 19, 2025, 9:12 PM

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pure bobcat then the height is gonna be x-9?

uhh

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that’s the other height

pure bobcat Mar 19, 2025, 9:19 PM

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charred thicket that’s the other height

wdym?

charred thicket Mar 19, 2025, 9:19 PM

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that’s the height outside of the water

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you want the part od the block pushing the water up

pure bobcat Mar 19, 2025, 9:20 PM

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oh sry i was thinking of smth else

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ur right

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so it's just 9x^2?

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wait no

pure bobcat Mar 19, 2025, 9:22 PM

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charred thicket you want the part od the block pushing the water up

900x?

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is the volume of the cuboid that is submerged in water

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so the volume of the water is 360(9)-900x?

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and that is equal to 3600-10x^2, because these are the two expressions for the volume of the water.

charred thicket Mar 19, 2025, 9:24 PM

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pure bobcat is the volume of the cuboid that is submerged in water

ye

pure bobcat Mar 19, 2025, 9:26 PM

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charred thicket ye

am i on the right track?

charred thicket Mar 19, 2025, 9:26 PM

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yes

pure bobcat Mar 19, 2025, 9:27 PM

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we don't have to solve for x do we?

charred thicket Mar 19, 2025, 9:27 PM

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decently sure that solves it unless more weird stuff occurs

pure bobcat Mar 19, 2025, 9:27 PM

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😭

charred thicket Mar 19, 2025, 9:27 PM

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pure bobcat we don't have to solve for x do we?

might ve a faster way

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but in any test environment i’d just grind out the x solve

pure bobcat Mar 19, 2025, 9:27 PM

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ohh

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ye and x is irrational

charred thicket Mar 19, 2025, 9:28 PM

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hm

pure bobcat Mar 19, 2025, 9:39 PM

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charred thicket hm

nvm i made a mistake, x is NOT irrational 😭

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i put 900x instead of 90x 💀

charred thicket Mar 19, 2025, 9:39 PM

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yay

pure bobcat Mar 19, 2025, 9:40 PM

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charred thicket yay

i think i can solve it from here, meanwhile can you please look at https://discord.com/channels/624314920158232616/1352000285244919879 if you have time

charred thicket Mar 19, 2025, 9:41 PM

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respond to kocher smh

pure bobcat Mar 19, 2025, 9:41 PM

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oh he replied

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i thought no one did

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kk i'll respond to him after im done

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i'll send it to u when im done

pure bobcat Mar 19, 2025, 11:39 PM

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@charred thicket I’m done

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charred thicket Mar 20, 2025, 4:31 AM

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oops i forgot to respond

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but yea thats good @pure bobcat 👍

pure bobcat Mar 20, 2025, 6:05 AM

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tysm @charred thicket

earnest yewBOT Mar 21, 2025, 7:00 AM

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@pure bobcat

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#Can someone help me with this question plsssss