A rectangular pool has a length of 60 feet and a width of the square root of 18 feet. a. What is the area of the surface of the pool?b.The pool has a depth of the square root of 10 feet. What is the volume of the pool?
Question
Answer:
a). Area = (length) (width)
= (60 ft) (√18 ft)
= (60 √18) ft²
= 60 √(9 · 2) ft²
= 60 (3) √2 ft²
= 180 √2 ft² (about 254.6 ft²)
b). Volume = (length) (width) (height)
= (60 ft) (√18 ft) (√10 ft)
= 60 √(180) ft³
= 60 √(4 · 9 · 5) ft³
= 60 (2) (3) √5 ft³
= 360 √5 ft³ (about 805 ft³)
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