Question

Find the total area of the frustum of a regular square pyramid which is inscribed in the frustum of a cone whose upper and lower base diameters are 4ft. and 6ft.,respectively, and whose altitude is 12ft.
I know that the answer is 196, but when I'm solving it i got 156.06.. I don't know why..

Answer 1

The four slant edges of the truncated pyramid will be touching the cone within which it is inscribed. Thus, the diameter of the cone at some height is equal to the diagonal of the square pyramid. If you know the diagonal of a square, then what are the side lengths?

Once you have the side lengths of the top and bottom of the truncated pyramid, you know the area of the top and bottom, the square portions. What shape are the sides of the truncated pyramid? How can you find their areas?

Answer 2

Austin is good at math lol

Answer 3

Listen to him hes always right

Answer 4

Most of it

Answer 5

Not Statistics

Answer 6

the sides of the top square is\[\frac{ 4 }{ \sqrt{3} } \]
and the lower square is \[\frac{ 6 }{ \sqrt{3} } \]
so the area of the top is 16/3 and the lower is 12

Answer 7

lol ok UnicornPoopCookies :)

Answer 8

Austin come help me ill give you a medal -____-

Answer 9

In the picture is that your work of the Area

Answer 10

I need to help Dan first if I'll be able to help him or not. @UnicornPoopCookies

Answer 11

yes @Austin1617 ... and i think there is something wrong but i can't find it :( thanks

Answer 12

Surface Area or Area

Answer 13

I keep using different formula but getting different answers lol

Answer 14

Are you sure its 196?

Answer 15

Nvm

Answer 16

lol.. not really but i saw it on the net and its in the choices of the question

Answer 17

Now i'm checking your work

Answer 18

Do you have to show work?

Answer 19

yes :(

Answer 20

I dont understand how you got \[\frac{ 4 }{ \sqrt{3}} and \frac{ 6 }{ \sqrt{3} }\]

Answer 21

I want someone else to do this problem and see what i'm doing wrong.

Answer 22

oh wait

Answer 23

or unless you messed up and i can't notice it

Answer 24

whats the "oh wait"

Answer 25

i use the \[\sqrt{3} \] instead of \[\sqrt{2}\]

Answer 26

to get the diagonal of square u need to multiple the side to \[\sqrt{2}\]

Answer 27

YESSSSS

Answer 28

sorry

Answer 29

you fixed your own problem :D

Answer 30

hahaha I'm always like that

Answer 31

I was confused about the \[\sqrt{3}\]

Answer 32

but there you go

Answer 33

do you have anymore questions you need help on?

Answer 34

none thanks anyway :))