Question

Please help find surface area

Answer 1

\[area~ of~ one~ slant ~surface=\frac{ 1 }{ 2 }*15*12=90\]
\[total~slant~area=6*90=540 sq. units\]
total surface area=Base area+Slant area

Answer 2

what is the base area?

Answer 3

@surjithayer

Answer 4

\[area~ of~ base=6*\frac{ 1 }{ 2 }*15*7.5\sqrt{3}=337.5 *\sqrt{3} sq.units.\]

Answer 5

would my answer be 647 m^2? @surjithayer

Answer 6

sorry i suck at math…..

Answer 7

base area \[=337.5*\sqrt{3}=584.57 sq. units.\]

Answer 8

now add the two to get the total surface area.

Answer 9

1,125 m^2? I think thats right since thats what i got :)

Answer 10

would you please be able to help me with a couple more match questions?

Answer 11

math*

Answer 12

i will try to guide you.

Answer 13

Thank you!! :))


The lateral area of a cone is 574 pi cm^2. The radius is 29 cm. What is the slant height to the nearest tenth of a centimeter?

Answer 14

thats a^2+b^2=c^2 right?

Answer 15

do i do 574^2+29^2=c^2?

Answer 16

@whpalmer4

Answer 17

yes, in this case, \[r^2+h^2 = l^2\]

Answer 18

but \[l = 574/29\]
not \[l = 574\]

Answer 19

19.8 is my answer?

Answer 20

hold on, I don't think we set this up correctly, let me check it

Answer 21

Can you check that you've stated the problem correctly?

Answer 22

i divided 574 by 29 and i got 19.7 which is basically 19.8

Answer 23

I understand that. However, I don't think you've stated the original problem correctly.

Answer 24

oh sorry i didn't know what you meant. But i will check right now

Answer 25

yep i checked and i wrote the problem correct

Answer 26

Well, something is rotten in Denmark. If the radius is 29 cm, and the lateral area is \(574\pi\) cm^2, that means that

\[A= \pi r l = 574\pi = 29*l*\pi\]Solving for \(l\) we get \[l = \frac{574\cancel{\pi}}{29\cancel{\pi}} = 19.79\]

However, \[r^2+h^2=l^2\]\[(29)^2+h^2 = l^2\]If this is a right triangle, the hypotenuse (\(l\)) must be the longest side. That is not the case here!

Answer 27

would you like me to tell you all the answer choices i have?

Answer 28

however, if you are missing a decimal point in the radius...

Answer 29

sure

Answer 30

9.9 cm
6.3 cm
19.8 cm
12.6 cm

Answer 31

Yes, there's a mistake in the statement of the problem. \(r\) must be smaller than the slant height!

Answer 32

Oh i guess that's alright if you can't figure it out. But would you be able to help me with some more questions please?

Answer 33

"if I can't figure it out?" No one can figure out that problem as you've stated it; it is an impossibility to have a right triangle where one of the legs is longer than the hypotenuse.

Answer 34

lol sorry i didn't mean it like that…

Answer 35

what is the other problem?

Answer 36

What is the volume of the given prism? Round the answer to the nearest tenth of a centimeter.