Question

a rectangular swimming pool has a length of 27 feet, a width of 21 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?
\boxed{} cubic feet
(b) the manufacturer suggests filling the pool to 95% capacity. how many cubic feet of water is this?
\boxed{} cubic feet

Explanation:

Part (a)

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism (which the pool is) is given by \( V = length \times width \times depth \).
Here, length \( l = 27 \) feet, width \( w = 21 \) feet, depth \( d = 5 \) feet.

Step2: Calculate the volume

Substitute the values into the formula: \( V = 27\times21\times5 \)
First, calculate \( 27\times21 = 567 \), then \( 567\times5 = 2835 \).

Step1: Find 95% of the total capacity

We know the total capacity from part (a) is 2835 cubic feet. To find 95% of it, we use the formula \( \text{Volume at 95\%} = 0.95\times \text{Total Volume} \)

Step2: Calculate the volume

Substitute the total volume: \( 0.95\times2835 = 2693.25 \)

Answer:

2835

Part (b)