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Mathematics 15 Online
OpenStudy (anonymous):

The area of the base of the sculpture is 49 square feet. What is the lateral area of the sculpture in square feet?

OpenStudy (anonymous):

is there a picture to this? what is the sculpture? a prism?, pyrmid? cube? sphere? etc...

OpenStudy (anonymous):

I'll draw it.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

I'm really not a good drawer.

OpenStudy (anonymous):

i'm not getting a picture.. just an error message... try again...:)

OpenStudy (anonymous):

describe it to me... what does it look like?

OpenStudy (anonymous):

thats weird

OpenStudy (anonymous):

how bout now?

OpenStudy (anonymous):

ok... i tried it again... it's a pyrmid...

OpenStudy (anonymous):

k

OpenStudy (anonymous):

I don't really know what to do.

OpenStudy (anonymous):

any ideas?

OpenStudy (anonymous):

could you teach me so i won't forget?

OpenStudy (anonymous):

ok.. the problem asks for the lateral surface area... that's the area of all those 4 triangles added together... do you see those 4 triangles on the sides of the pyrmid?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

the area for a triangle is 1/2bh

OpenStudy (anonymous):

correct...

OpenStudy (anonymous):

so if we can just find the area of 1 of those triangles, we can multiply it by 4 to get the lateral surface area.... agreed?

OpenStudy (anonymous):

heck yes!!!!!!!!!!

OpenStudy (anonymous):

i love your enthusiasm...:)

OpenStudy (anonymous):

ty

OpenStudy (anonymous):

Is the pythagorean Theorem neccessary?

OpenStudy (anonymous):

one more thing... they say the base has an area of 49... that means the square at the bottom is 7 by 7... agreed?

OpenStudy (anonymous):

So the area of the base is the base of the triangle squared, right?

OpenStudy (anonymous):

so, the height is 12 and the base is 7. 7 times 12=84/2=42 times 4=168!!!!!!

OpenStudy (anonymous):

|dw:1339550246886:dw| see that shape i shaded? that's the square that has area 49... so each side of the square must be 7.

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