- anonymous

find the height of a prism of a base if the volume is 9 and the area of the base is 18

- jamiebookeater

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- anonymous

volume of a prism = area of base x height
so plug in your 2 values and solve the equation

- anonymous

i assume that the prism is standing on its end!

- 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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## More answers

- anonymous

i really dont understand geometry at alll!

- 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

ok . could you please explain to me how to solve the problem

- 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

hold on a bit - to be honest i'm stuck with that bit

- anonymous

ok so its going to be d1d2 divided by 2 to solve for area

- anonymous

heck! is that the area of a rhombus - you've got that from a maths book or by other means??

- anonymous

other means but when i calulate it it comes out to 60 = 60

- anonymous

i dont remember to be honest

- anonymous

well d1d2 /2 = 30/2 = 15
so qwe have 60 = 15 x h
h = 4
height is 4

- anonymous

where did u get 15 from?

- anonymous

where did you get 30 from im lost

- 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

ok - the volume d1d2/2 is correct so the answer must be h = 1
60 = 60 x h
h=1

- anonymous

is that possible?

- 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

phew - i think thats enough for today my brain is tired

- anonymous

how did you get to that?

- anonymous

well the volume is 60 cu ft isn't it

- anonymous

yes

- anonymous

i 'm going crazy - i've just checked your earlier post - its 60 cu ins there

- anonymous

in which case h = 1 inch as i said earlier

- anonymous

that is possible brit

- anonymous

lol okay thank you but im not done working your brain 2 more questions if you dont mind

- anonymous

give me a medal first! lol

- anonymous

ok so the diagonal of a cube is 7\[\sqrt{3}\] find the voulme of the cube

- 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

are u still there

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