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.
