The volume of a hexagonal prism is 6 ft3. What is the height of the prism if the base area is 2 ft3?

3ft

12 ft

18 ft

3 ft

Question

The volume of a hexagonal prism is 6 ft3. What is the height of the prism if the base area is 2 ft3?

 3ft

 12 ft

 18 ft

 3 ft

anonymous · Answer

it didnt turn out the way it was supposed to . dont answer :C

jim_thompson5910 · Answer

Volume = (Area of the base)*(Height)

V = Ah

6 = 2h

6/2 = h

3 = h

h = 3


So the height is 3 feet

anonymous · Answer

good Question. :)

anonymous · Answer

are you sure ? because my question didnt turn out like it was supposed to

jim_thompson5910 · Answer

I'm very sure. If the volume is 6 cubic feet and the area of the base is 2 cubic feet, then the height is 3 feet.

anonymous · Answer

it didnt type right . when i pasted the answer the equation left :C

jim_thompson5910 · Answer

That's alright. I understood it just fine.

If you want, you can type "cubic feet" as "ft^3". The two are interchangeable.

hero · Answer

I think she's trying to say that she posted the question incorrectly

anonymous · Answer

The volume of a hexagonal prism is 6 ft$$\sqrt{?}$$3. What is the height of the prism if the base area is 2 ft$$\sqrt{?}$$ 3

anonymous · Answer

there it is posted correctly

jim_thompson5910 · Answer

Oh so the 3s are in the square roots?

anonymous · Answer

yes -.-

jim_thompson5910 · Answer

If so, then...


V = Ah

6*sqrt(3) = 2*sqrt(3)h

(6*sqrt(3))/(2*sqrt(3)) = h

3 = h

h = 3


and we get the same answer

anonymous · Answer

thanks !! :3

jim_thompson5910 · Answer

sure thing

anonymous · Answer

What is the volume of a triangular prism with a height of 3 centimeters and a base that is an equilateral triangle with sides of 4 centimeters?

 24 cm3

 cm3

  cm3

 48 cm3 

can you help me with this one too ?

anonymous · Answer

the 2 middle answers are 8squared3 and 12squared3

jim_thompson5910 · Answer

With an equilateral triangle, if the base is x units, then half the base is x/2 units.

The height is then (x/2)*sqrt(3)


Therefore, the area is then


A = (bh)/2

A = ((x/2)*(x/2)*sqrt(3))/2

A = (x^2/4)*sqrt(3)


In this case, x = 4, so the area of the equilateral triangle is 

A = (4^2/4)*sqrt(3)

A = 4*sqrt(3)


Now let's find the volume


Volume = (Area of base)*(Height)

V = Ah

V = 4*sqrt(3)*3

V = 12*sqrt(3)


So the answer is choice C

anonymous · Answer

thanks ! your the best C:

jim_thompson5910 · Answer

You're welcome

anonymous · Answer

yayy i got an 80% xD