Question

What is the volume of a square pyramid with a slant of 15 and a side of 24?

Answer 1

If you know the formula, would you post it here, please?

Answer 2

Volume = 1/3Bh

Answer 3

Good. I'm going to upload a diagram because I need to show you something about height. The height of the pyramid and the slant height of the pyramid are not the same thing.

Answer 4

yeah i knew that...i just dont know how to find the height

Answer 5

So, we have to find the height of the pyramid using the slant height.
Give me a moment to mark up the diagram.

Answer 6

allright....than i would plug those dimensions in?

Answer 7

Yes, do you see how I got the 12? Half of the base edge.

Plug in the values and crank out the height. Then, the volume falls right out.

Answer 8

so 12 is the height?

Answer 9

Yes. Did you see that it is a Pythagorean triple -- a 3-multiple of the (3,4,5) triple.
So, 3*3, 3*4 and 3*5.

Answer 10

Do you want to crank out the volume and post what you get? I'll check it.

Answer 11

YES PLEASE...I CANNOT GET THIS FOR THE LIFE OF ME

Answer 12

V = 1/3 B h where B is the area of the square base.

V = 1/3 * (24*24) * 9

V = 1/3 * 9 * (24*24)

V = 3 * 576

V = 1728 cubic units

Let me know what you think.

Answer 13

why was the height 9?

Answer 14

THANK YOU SOOO MUCH DUDE

Answer 15

I answered your question incorrectly. --? so 12 is the height?
I should have said "no." 12 is in the floor of the pyramid.

Answer 16

So, 15^2 = h^2 + 12^2 and h = 9.

Answer 17

that 12 height was getting to me haha...i kept trying and i cluld not get the right answer...thank you soo much haha