anonymous
  • anonymous
Volume= 18 cm3 Height of the pyramid= 3 cm B1= 2 cm B2= 3 cm What is the height of the base?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
you mean area of the base?
anonymous
  • anonymous
wait, no. base area is .5xh(b1+b2) so i need the height
anonymous
  • anonymous
i though height was given as 3 cm?

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anonymous
  • anonymous
thats the height of the pyramid
anonymous
  • anonymous
okay, and what do you need to evaluate?
anonymous
  • anonymous
the height of the base
anonymous
  • anonymous
http://en.wikipedia.org/wiki/Pyramid_(geometry) are you talking about that? how is there a height of the base?
anonymous
  • anonymous
x=18cm3
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anonymous
  • anonymous
ah, so you should say its a trapezoidal pyramid.
anonymous
  • anonymous
yes
anonymous
  • anonymous
okay, do you know the formula to the volume of a pyramid?
anonymous
  • anonymous
yes. 1/3 x B x H
anonymous
  • anonymous
what is B in the formula?
anonymous
  • anonymous
i dont know. b1 = 2 cm b2= 3 cm
anonymous
  • anonymous
yess.
anonymous
  • anonymous
okay you must always know what the letters mean in a formula. for example the area of a rectangle is the its length multiplied by its width. you shouldn't remember it as l x b, because when I ask you what l and b are, you don't have an answer to that.
anonymous
  • anonymous
volume of a pyramid is one-thirds the product of the base area and its height
anonymous
  • anonymous
yea
anonymous
  • anonymous
so B is the area of the base. right, so substitute H and V in the equation
anonymous
  • anonymous
right
anonymous
  • anonymous
soooo,,,,,,,,,,,,,,,,,,,,
anonymous
  • anonymous
so, tell me what you got after substituting the values of V and H.
anonymous
  • anonymous
V= 18cm H= 3cm. h= i dont know
anonymous
  • anonymous
substitute V = 18, H =3 in V = 1/3 x B x H and find the value of B.
anonymous
  • anonymous
but H is the height of the pyramid, i need the height of the base (h)
anonymous
  • anonymous
Yes, volume of a pyramid is 1/3 x Base area x Height of the pyramid. so once you find the base area of the pyramid, substitute its value as 1/2(b1+b2) x h and find h
anonymous
  • anonymous
so how do you find h?
anonymous
  • anonymous
I just told you. can you please just for the love of god substitute V and H in V = 1/3 B x H and give me an answer for B?
anonymous
  • anonymous
BUT I DONT KNOW THE BASE. sorry i'm not good at math, my lord.
anonymous
  • anonymous
what is so hard about this? 18 = 1/3 x B x 3 B =18 but we know that B = 1/2(b1+b2) x h so 18 = 1/2(2+3) x h h = 36/5
anonymous
  • anonymous
you just have to work backward to get the base. you won't always find equations in the correct order. you must know how to manipulate equations to get your variable.
anonymous
  • anonymous
where did we get 36
anonymous
  • anonymous
multiply 18 by 2 and divide by 5.
anonymous
  • anonymous
i got h = 7.2. is this correct?
anonymous
  • anonymous
yeah. oooo you used a calculator to find the value of 36/5! good on you!
anonymous
  • anonymous
btw, which grade are you in?
anonymous
  • anonymous
7th
anonymous
  • anonymous
okay. Have you ever done manipulation of equations?
anonymous
  • anonymous
no
anonymous
  • anonymous
like if x = y+2, what is y?
anonymous
  • anonymous
x-2?
anonymous
  • anonymous
then why do you say you haven't done any algebraic manipulation before?
anonymous
  • anonymous
btw, h= 2.4. 1/2 x 2.4 (3+2) = 6. 6x3=18.
anonymous
  • anonymous
why do you say 6 x 3 = 18?
anonymous
  • anonymous
is the formula for volume of a pyramid area of base x height?
anonymous
  • anonymous
because the height of the pyramid is 3 cm, so to find the volume you have to multiply the base by the height.
anonymous
  • anonymous
oh yeah, divide by 3. nevermind...
anonymous
  • anonymous
good, at least you figured that out on your own.
anonymous
  • anonymous
oh stopp
anonymous
  • anonymous
:D

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