Question

a person wants to install an in - ground swimming pool that will be 25 feet long, 18 feet wide, and 4 feet deep. what volume of dirt will need to be excavated for this pool?
a 72 cu. ft.
b 100 cu. ft.
c 450 cu. ft.
d 1,800 cu. ft.

Explanation:

Step1: Recall Volume of Rectangular Prism

The pool is a rectangular prism, so volume \( V = l \times w \times h \), where \( l = 25 \) ft, \( w = 18 \) ft, \( h = 4 \) ft.

Step2: Calculate Volume

Substitute values: \( V = 25 \times 18 \times 4 \). First, \( 25 \times 18 = 450 \), then \( 450 \times 4 = 1800 \) cubic feet.

Answer:

D. 1,800 cu. ft.