An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length of the pond is two times its width. Find the length and width of the pond to the nearest tenth.
Accepted Solution
A:
let x-------> the length of the pond y-------> the width of the pond
we know that [volume of the pond]=area of the base*deep area of the base=volume/deep volume=72000 in³ deep=24 in area of the base=72000/24------> 3000 in²
area of the base=x*y 3000=x*y-------> equation 1 x=2y-----> equation 2
substitute equation 2 in equation 1 3000=[2y]*y------> 2y²=3000-----> y²=1500------> y=38.7 in x=2y----> x=2*38.7----> x=77.4 in
the answer is the length of the pond is 77.4 in the width of the pond is 38.7 in