A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet

(a) To find the volume of the rectangular swimming pool, we need to multiply its length, width, and depth.

The volume of a rectangular prism can be found using the formula:

\text{{Volume}} = \text{{length}} \times \text{{width}} \times \text{{depth}}

Given:
Length ( L ) = 14 feet
Width ( W ) = 26 feet
Depth ( D ) = 5 feet

Substituting the values into the formula:

\text{{Volume}} = 14 \times 26 \times 5

Calculating this:

\text{{Volume}} = 1820 \text{{ cubic feet}}

Therefore, the pool can hold 1820 cubic feet of water.

Answer: \boxed{1820 \text{ cubic feet}}

(b) To find the amount of water to fill the pool to 95% capacity, we need to multiply the volume of the pool by 95%.

The amount of water is given by:

\text{{Amount of water}} = \text{{Volume of pool}} \times \left( \frac{{95}}{{100}} \right)

Substituting the value of the volume of the pool:

\text{{Amount of water}} = 1820 \times \left( \frac{{95}}{{100}} \right)

Calculating this:

\text{{Amount of water}} = 1729 \text{{ cubic feet}}

Therefore, filling the pool to 95% capacity would require 1729 cubic feet of water.

Answer: \boxed{1729 \text{ cubic feet}}