A rectangular swimming pool has a base of 200 square feet. The pool has a depth of 5 feet. What is the volume of the pool?

200 X 5 = 1000 square feet

Step-by-step explanation:

V = L x W x H

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

here is a big fat