Question

Find the following measure for this figure.
https://alphaomegaga.ignitiaschools.com/media/g_geo_ccss_2014/8/groupi99.gif
Slant height =

Answer 1

familiar with pythagorean theorem ?

Answer 2

Kinda I know the formula to a certain extent.

Answer 3

then you're good here!
the total length of side is 10, so half of it would be 5, yes ?

Answer 4

Yes.

Answer 5

You need to find that slanty hypotenuse using pythagorean theorem

Answer 6

So would it be 13?

Answer 7

Correct!

Answer 8

Thanks you! :)

Take a medal!

Answer 9

yw:)

Answer 10

@ganeshie8
How would I find the volume using the same figure?

Answer 11

do you have volume of pyramid formula ?

Answer 12

No, I have to find the volume. The only information they give me is the information I gave you above.

My answer choices are:
400 cubic units
433.3 cubic units
1,200 cubic units

Answer 13

@ganeshie8

Answer 14

@igreen

Answer 15

The formula for the volume of a square pyramid is:

\(V = \dfrac{1}{3}b^2 h\)

Answer 16

Lol, you didn't need to use the Pythagorean theorem :P

Answer 17

So would it be 400 cubic units. I've been trying to figure this out for some time.

Answer 18

I don't, how come?

Answer 19

Anyway..we are given:

Height: 12
Base: 10

\(V = \dfrac{1}{3}b^2 h\)

\(V = \dfrac{1}{3}(10^2)(12)\)

\(V = \dfrac{1}{3}(100)(12)\)

\(V \approx (33.33)(12)\)

\(V \approx 400~\Large\color{lime} \checkmark\)

Answer 20

The formula for the Volume of a square pyramid only needs the base and the height to find it..using the Pythagorean Theorem helped you find the slant height..but we don't need that to find the Volume of a square pyramid, only for like the Surface Area.

Answer 21

How did you get the (100)(12) on the third row?

Answer 22

I simplified the exponent..\(10^2 = 100\)

Answer 23

Oh, and I re-read your question..lol. It does ask for the slant height.