Question

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?

Answer 1

@Agent_Sniffles @amistre64 @jim_thompson5910 @Hero

Answer 2

@TuringTest

Answer 3

@myininaya

Answer 4

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?

Answer 5

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?

Answer 6

8?

Answer 7

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?

Answer 8

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

Answer 9

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?

Answer 10

44?

Answer 11

1600?

Answer 12

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

Answer 13

sorry typo in the calc... 176?

Answer 14

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

176 square feet

Answer 15

Cool! Thanks sooooooo much!