Question

Help with Surface Area? Is my answer correct? This is the Surface area of this right square based pyramid

Answer 1

My answer is 172.32 m^2 for the surface area

Answer 2

172.32 m^2 is correct for a single triangular face, if that's all you're looking for.

But the surface area of all 4 sides is 4 times that, and the surface area of the base is 8^2

Answer 3

My answer choices are A. 236.32 m^2 B. 172.32 m^2 C. 224 m^2 D. 160 m^2

Answer 4

Then it appears that the question that was asked was "what is the surface area of one side of this pyramid?"

In which case, 172.32 is the correct answer. :-)

Answer 5

She simply asked: "1. What is the Surface area of this right square based pyramid?" but I hope that's what she meant cuz that seems the most logical :D Could you help me with the rest?

Answer 6

DOHHH!!! Ignore my previous comment!! I stacked up my calculations wrong...

Stand by for a minute...

Answer 7

Okay...

172.32 is the surface area for all 4 faces.

However, most of these questions expect the base to be added to the total surface area, so that would be 172.32 + 8^2 = 236.32 m^2

Answer 8

Ooh, I didn't realize about the base

Answer 9

Yeah, and the worst part is that both answers are included in the list of answers. so I can't really tell for sure which one she wants.

But if it were me, I would answer 236.32

Answer 10

yea I'm going to go with 236.32 just to be safe

Answer 11

Most questions of this type do want ALL the faces included, so I think you'll be safe with that. :-)

And I'm really sorry for my earlier answers. I had the total area listed right under my calculations for a single face, so I was reading the wrong numbers.

Answer 12

Its alright! :D Would you mind helping me with more? I don't want weekend work haha xD

Answer 13

How many more?

Answer 14

Well there are 15, but I'm not going to ask you to help me with 15 haha, I just need help with 3 more, I think I can do the last 2 surface area

Answer 15

Okay. I'll try to help you with 3 more,

Answer 16

Thanks :D My answer for this was 321.6 km^2

Answer 17

She asked: "What is the Surface area of this equilateral triangular based pyramid?"

Answer 18

Check!

I got the same result! :-)

Next?

Answer 19

Awesome! I'm still working on this one, I'm almost done

Answer 20

She asked "What is the SA of this right square based pyramid? Don’t forget to solve for the slant height" , I'm not sure how to solve for the slant height though

Answer 21

Okay, I think the simplest way to approach this is to draw a line from the center of the base to the center of one of the sides.

That will give us a right triangle that has 2 sides of 18 & 6. The hypotenuse of that triangle will give us the slanted height of a pyramid face.

So the hypotenuse is:

sqrt(6^2 + 18^2) = 18.97

So now we can do a face:

1/2 * 12 * 18.97

There are 4 faces + the base, which is 12^2

Answer 22

Sorry, Openstudy wasn't working for me :/ reading now

Answer 23

599.28 i^2?

Answer 24

mi*

Answer 25

I got 599.368

But 599.28 is acceptable with rounding errors. :-)

Answer 26

:D Great :3 This is the next one..

Answer 27

"What is the SA of this regular hexagonal based pyramid?"

Answer 28

Okay, the only tricky thing I see here is the base, which is a hexagon.

Picture this figure as 6 triangles on top and a base also composed of 6 triangles.

A single pyramid face has a base of 12 and a slant-height of 33.6

A triangle composing 1/6 of the base hexagon has a height of 10.4 and a base of 12

Answer 29

PS: I just realized my drawing looks like a 3-sided pyramid.

Beware: It is not. It's a plane figure. :-)

Answer 30

Like a kite. :-)

Answer 31

Its still a kinda confusing to me :/

Answer 32

Well, you've done all the other triangular calculations with no problem. These are no harder! :-)

What's the area of 1 pyramid face 12*33.6 ?

Answer 33

403.2 :D

Answer 34

It's a triangle...you forgot to multiply by 1/2.

Answer 35

whoops sorry, I didn't press enter hard enough! 201.6?

Answer 36

Heheh..

Okay, save that value.

Now what's the area of a triangle 12*10.4 ?

Answer 37

Yep...probably should've worded that differently...>.>

62.4?

Answer 38

Right!!

Now add the old 201.6 to the current 62.4, and you get 264 even, which is the SA of the kite shaped figure above.

Ya still with me on this? We;re 1/6th done!! :-)

Answer 39

Yup! So now its 264*6?

Answer 40

Righto!!!

And that's the final answer! :-)

Answer 41

Awesome!!! :D Thank you!! :3 I'm going to work on the rest >.> now its volume D: Thanks again, I wish I could give you more than one medal :(

Answer 42

Np!! Glad I was able to help!!

I think you've done very well and shouldn't have any problems figuring out the rest!

As for me, I think I'll go raid the fridge...thinking gives me the munchies! :-)

Answer 43

Haha I hear that! Thanks :D