Question

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?

Answer 1

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)