Question

# 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

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## Answer to a math question 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

Eliseo
4.6
$a$ 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.

$b$ 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.

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