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A stone sculpture in a park is in the shape of a square pyramid as shown below. http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0700_Subtest_03_17/image0044e5fbd82a.jpg The area of the base of the sculpture is 64 square feet. What is the lateral area of the sculpture in square feet?

Mathematics
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Other answers:

  • phi
your link does not let me see the figure. The lateral area is the area of the 4 sides (does not include the bottom) do they give the slant height?
1 Attachment
  • phi
area of the base of the sculpture is 64 square feet they tell you the base is square. Can you find the length of one side of the base?
8?
  • phi
yes sqrt(64)= 8 if you look at one side, it is a triangle with base 8 and altitude 11 can you find the area of a triangle?
i dont remember how to..... :(
  • phi
the formula is area= base*height/2 (you could google area triangle if you forget) can you find the area of one side of the pyramid?
44?
1600?
  • phi
because the bottom of the pyramid is square, each base is 8. You have 4 identical sides. Can you find the total lateral area (all 4 sides) if one side is 44
sorry typo in the calc... 176?
  • phi
fixed a typo. How did you get 1600? OK 4*44= 176 if we add in the units 176 square feet
Cool! Thanks sooooooo much!

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