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Mathematics 18 Online
OpenStudy (anonymous):

if the slant is 12 and The area of the base of the sculpture is 49 square feet. What is the lateral area of the sculpture in square feet? Answer 168 217 294 336

OpenStudy (anonymous):

is it 168??

Directrix (directrix):

What type solid is this? A right circular cone or something else?

OpenStudy (anonymous):

put the drawing up, it doesn't make sense. if you use the slant height as 12, which it isn't, the answer is 168. its a square pyramid

OpenStudy (anonymous):

if its not a geometric shape you cannot know it because the shape can be anything

OpenStudy (anonymous):

The picture doesn't indicate that it's a square, but it looks square. If it is, the answer of 168 is correct. Area of a side is bh/2; if the base is square, b=7 h=12, so each side has area 42. Four sides means 168 lateral area.

OpenStudy (anonymous):

Actually, if we think all the slant heights are the same, it implies the base is square.

OpenStudy (anonymous):

yes but the height is not 12, its (12^2-3.5^2)

OpenStudy (anonymous):

sqrt(12^2-3.5^2), rather

OpenStudy (anonymous):

That is the projection of the side in the vertical plane. I think the lateral area of the figure is usually the actual area, not its projection.

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