anonymous
  • anonymous
The two square pyramids are similar. Find the total volume of both pyramids if the ratio of their surface areas is 9/16. A. 545 inches cubed B. 546 inches cubed C. 554 inches cubed D. 564 inches cubed
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
@Hero @nincompoop
anonymous
  • anonymous
please help

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Hero
  • Hero
@pooja195, are you going to help?
anonymous
  • anonymous
I really need desperate help. I'm horrible at ratios and anything having to do with similar figures.
Hero
  • Hero
It's getting a bit late for me.
pooja195
  • pooja195
V1 / V2 = (L1 / L2)^3
anonymous
  • anonymous
uhhhhhhh
anonymous
  • anonymous
drawing a blank :(
pooja195
  • pooja195
lol v=volume l=length of a dimension
anonymous
  • anonymous
i know that i just dont know how to put the numbers and that formula together
pooja195
  • pooja195
gimmie a sec...
anonymous
  • anonymous
ok
pooja195
  • pooja195
Let's use volume formula of pyramid V = 1/3 * base area * height
pooja195
  • pooja195
V = 1/3 * base area * height V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y
anonymous
  • anonymous
so what would be y?
pooja195
  • pooja195
look http://prntscr.com/837zqu
pooja195
  • pooja195
x is the side length of the base of the small pyramid y is the height of the larger pyramid
anonymous
  • anonymous
okay so how do i figure out the y then, im sorry i sound dumb im just confused. i know the formula but how do i do it wen i dont know the y
pooja195
  • pooja195
lol you're not dumb! :) Here see if you understand this :) Let's use volume formula of pyramid Volume = 1/3 * base area * height Given: V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4
anonymous
  • anonymous
ok so the scale factor is 3/4. what's next
pooja195
  • pooja195
lol you're not dumb! :) Here see if you understand this :) Let's use volume formula of pyramid Volume = 1/3 * base area * height Given: V1 = 1/3 * (x)^2 * 6 V2 = 1/3 * (12)^2 * y We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4 L1 = 3/4 * L2 Let L2 = y , then L1= 3/4* L2 x= 3/4*y V1 = 1/3 * (3/4 *y ) * 6 V2 = 1/3 * (12)^2 * y
pooja195
  • pooja195
The scale factor is 3/4 to go from the bigger pyramid to the smaller pyramid
pooja195
  • pooja195
understood so far?
anonymous
  • anonymous
No... i'm sorry. everything is confusing me..
pooja195
  • pooja195
We can find the scale factor A1 / A2 = (L1 / L2 ) ^2 = 9/16 L1 / L2 = √ 9/16 = 3/4 The scale factor is 3/4 to go from the bigger pyramid length dimension to the smaller pyramid length dimension. The scale factor is 4/3 to go from the smaller pyramid length dimension to the bigger pyramid length dimension. V1 = 1/3 * (3/4 * 12) ^2 * 6 V2 = 1/3 * (12)^2 * (6 * 4/3)
pooja195
  • pooja195
Is that better?
anonymous
  • anonymous
I got 384
anonymous
  • anonymous
for V2
pooja195
  • pooja195
good how bout V1?
anonymous
  • anonymous
24
pooja195
  • pooja195
Not quite... V1 = 1/3 * (3/4 * 12) ^2 * 6= 162
anonymous
  • anonymous
okay so what do i do after that
anonymous
  • anonymous
if you don't mind kind of fast forwarding a little bit im on a timed assignment. i dont mean to sound rushy :(
pooja195
  • pooja195
dont worry :-) we're almost done! :D 384+162=?
anonymous
  • anonymous
546
pooja195
  • pooja195
good job and that would be our final answer :)
anonymous
  • anonymous
thank you so much
pooja195
  • pooja195
;) no probs ^-^
pooja195
  • pooja195
\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

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