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

- anonymous

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

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- 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!

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.