## Sunshine447 3 years ago 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?

1. Sunshine447

@Agent_Sniffles @amistre64 @jim_thompson5910 @Hero

2. Sunshine447

@TuringTest

3. Sunshine447

@myininaya

4. 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?

5. Sunshine447

6. 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?

7. Sunshine447

8?

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?

9. Sunshine447

i dont remember how to..... :(

10. 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?

11. Sunshine447

44?

12. Sunshine447

1600?

13. 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

14. Sunshine447

sorry typo in the calc... 176?

15. phi

fixed a typo. How did you get 1600? OK 4*44= 176 if we add in the units 176 square feet

16. Sunshine447

Cool! Thanks sooooooo much!