anonymous
  • anonymous
find the height of a prism of a base if the volume is 9 and the area of the base is 18
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
volume of a prism = area of base x height so plug in your 2 values and solve the equation
anonymous
  • anonymous
i assume that the prism is standing on its end!
anonymous
  • anonymous
if the base of a right prism is a rhombus with diagonals 10 in and 12 in and the volume of the prism is 60 cu in find the height of the prism please help!

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anonymous
  • anonymous
i really dont understand geometry at alll!
anonymous
  • anonymous
well we usually talk about the length and cross sectional area of a prism. I prism is a 3 dimensional object with a uniform cross section - a bit like a toblerone bar of chocolate
anonymous
  • anonymous
ok . could you please explain to me how to solve the problem
anonymous
  • anonymous
well assume the prism is resting on its base which is a rhombus then its volume = area of the rhombus x the height so 60 = area of rhombus x h so we need to calculate the area of the rhombus
anonymous
  • anonymous
hold on a bit - to be honest i'm stuck with that bit
anonymous
  • anonymous
ok so its going to be d1d2 divided by 2 to solve for area
anonymous
  • anonymous
heck! is that the area of a rhombus - you've got that from a maths book or by other means??
anonymous
  • anonymous
other means but when i calulate it it comes out to 60 = 60
anonymous
  • anonymous
i dont remember to be honest
anonymous
  • anonymous
well d1d2 /2 = 30/2 = 15 so qwe have 60 = 15 x h h = 4 height is 4
anonymous
  • anonymous
where did u get 15 from?
anonymous
  • anonymous
where did you get 30 from im lost
anonymous
  • anonymous
sorry - i must be tired its 12 x 10 divided by 2 giving 60 - either the d1d2 formula is wrong or volume = 60 is wrong. hold on and i'll check my maths stuff
anonymous
  • anonymous
ok - the volume d1d2/2 is correct so the answer must be h = 1 60 = 60 x h h=1
anonymous
  • anonymous
is that possible?
anonymous
  • anonymous
lol - thats wrong because the diagonals are in inches and the volume is in cubic feet right 60 cu feet = 60 x 12^3 cu ins = 103680 cu ins so 103680 = 60 x h h = 12^3 = 1728 ins or 144 ft
anonymous
  • anonymous
phew - i think thats enough for today my brain is tired
anonymous
  • anonymous
how did you get to that?
anonymous
  • anonymous
well the volume is 60 cu ft isn't it
anonymous
  • anonymous
yes
anonymous
  • anonymous
i 'm going crazy - i've just checked your earlier post - its 60 cu ins there
anonymous
  • anonymous
in which case h = 1 inch as i said earlier
anonymous
  • anonymous
that is possible brit
anonymous
  • anonymous
lol okay thank you but im not done working your brain 2 more questions if you dont mind
anonymous
  • anonymous
give me a medal first! lol
anonymous
  • anonymous
ok so the diagonal of a cube is 7\[\sqrt{3}\] find the voulme of the cube
anonymous
  • anonymous
i assume you mean the diagonal of one side of the cube. by pythagoras (7sqrt3)^2 = 2x^2 (where x = one side of cube) 147 = 2x^2 x = sqrt(147/2) = 8.5732 vlume of cube = (8.5732)^3 = 630.13 correct to 2 dec places
anonymous
  • anonymous
are u still there

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