Question

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

Answer 1

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

Answer 2

i assume that the prism is standing on its end!

Answer 3

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!

Answer 4

i really dont understand geometry at alll!

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

i dont remember to be honest

Answer 13

well d1d2 /2 = 30/2 = 15

so qwe have 60 = 15 x h

h = 4

height is 4

Answer 14

where did u get 15 from?

Answer 15

where did you get 30 from im lost

Answer 16

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

Answer 17

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

60 = 60 x h
h=1

Answer 18

is that possible?

Answer 19

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

Answer 20

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

Answer 21

how did you get to that?

Answer 22

well the volume is 60 cu ft isn't it

Answer 23

yes

Answer 24

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

Answer 25

in which case h = 1 inch as i said earlier

Answer 26

that is possible brit

Answer 27

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

Answer 28

give me a medal first! lol

Answer 29

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

Answer 30

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

Answer 31

are u still there