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Mathematics 20 Online
eviant:

Math help pls

eviant:

1 attachment
eviant:

@Narad

Narad:

The volume is \[V=1/3*a*h\] Here you have to find the height ? the slant height is given

jhonyy9:

|dw:1558272597127:dw|

jhonyy9:

this drawn will help you calcule easy the length of VO

eviant:

@Narad how do I find the height?

Narad:

By the Pythagoras theorem \[c^2=a^2+b^2\]

eviant:

@Narad would 25^2 be c^2?

Narad:

Yes

eviant:

25^2=625, whats a^2 and b^2?

Narad:

Look at the triangle VOF

eviant:

14^2+14^2=392

Narad:

no, OF=?

eviant:

I assume you are talking about the image I attached, the only other numbers are 14

Narad:

yes, look at the attached image

eviant:

OF=48?

Narad:

How do you get 48?

eviant:

14+14=48

Narad:

are you sure?

eviant:

I think so(I'm not actually sure about anything since I dont now how to solve this

Narad:

you are adding 2 numbers, 14+14=???

eviant:

@dude b^2=14^2=196?

eviant:

@Narad , I did 14^2=196=base, then I did 25^2-14^2=429, then I multiplied 1/3*(429)*(196), ad got 1217, which is not an option, what am I doing wrong?

dude:

\(\color{#0cbb34}{\text{Originally Posted by}}\) 14+14=48 \(\color{#0cbb34}{\text{End of Quote}}\) You added wrong 14+14 = 28, not 48 o-o

eviant:

oh, sorry about that but what am I doing wrong now?

dude:

So to find the volume \(V=\large \frac13\)\(base \times height\) b = base (area of the square)= 14*14 h = height (height itself)= 28 \(V=\large \frac13\)\(bh\) \(V=\frac{1}{3}(196)(28)\) \(V=\large\frac {5488}{3}\)\(= 1829.33... \approx 1829.33\)

dude:

Narad wrote a as "base area" but the idea is still the same

eviant:

1633 m3 1568 m3 1485 m3 1509 m3

eviant:

^^those are the options

dude:

Ah that makes more sense I got the height wrong Didnt read up whoops

dude:

|dw:1558313493207:dw| So triangle VOF forms a triangle OF is just half of the side length So |dw:1558313547094:dw| (Basically what it now looks like, and now I guess you can solve pythagorean theorem more easier)

eviant:

@dude is the height 576?

dude:

No o-o h is a leg, 25 is the hypotenuse \(h^2+7^2=25^2\) \(h^2+49=625\) \(h^2=576\) \(h=24\)

eviant:

@dude 1568?

dude:

Ya

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