what is the volume of the pyramid? base is 16ft, length is 16ft, height is 17ft
A) 1,280ft^3
B)34,816ft^3
C)8,704ft^3
D)4,624ft^3

Question

what is the volume of the pyramid? base is 16ft, length is 16ft, height is 17ft
A) 1,280ft^3
B)34,816ft^3
C)8,704ft^3
D)4,624ft^3

photon336 · Answer

do you have the formula for a pyramid volume?

astrophysics · Answer

Assuming it's right rectangular I'd say $$V = \frac{ lwh }{ 3 }$$

astrophysics · Answer

So plug and chug at this point

kellycahill · Answer

I don't have the formula

kellycahill · Answer

the answer I got isn't an option

astrophysics · Answer

Ok I see you need the slant height, meaning we need surface area

kellycahill · Answer

I am guessing so I know nothing on this hahahaha

jim_thompson5910 · Answer

it says `what is the volume of the pyramid?` so I'm not sure where you're getting surface area from. It could be a typo though.

astrophysics · Answer

Yeah sorry, I meant to get slant height we can do the following, $$S = \sqrt{r^2+h^2}$$ where S is the slant height

astrophysics · Answer

Lately I don't know if I'm just reading these problems wrong or it's just worded weirdly, so we have the slant height, we want the "altitude height" then you can solve for h using the formula above, getting $$h = \sqrt{S^2-r^2}$$ and yeah ok this makes more sense, we have $$h = \sqrt{17^2-8^2} = 15$$ now we have our volume $$V = \frac{ hlw }{ 3 }$$ we just solved for h, now plug in the l and w, haha.