Question

3) How many cubic feet of water can the
following in-ground swimming pool hold?
6 ft
8 ft
/8 ft
6 ft
6 ft
8 ft
144f

Answer 1

9514 1404 393

Answer:

  (d)  528 ft³

Step-by-step explanation:

The shape is that of a trapezoidal prism. The front face is a trapezoid with bases 8 ft and 14 ft, and height 6 ft. Its area is ...

  A = (1/2)(b1 +b2)h = (1/2)(8 +14)(6) = 66 . . . . square feet

Then the volume is given by ...

  V = Bh

where B is the area of the (trapezoidal) base, and h is the height of the prism (8 ft). Filling in the values, we find ...

  V = (66 ft²)(8 ft) = 528 ft³

The pool can hold 528 ft³ of water.