Question

use the formulas in the table to the right to answer the following question. a competition swimming pool is 50 meters long, 40 meters wide, and 3.5 meters deep. how much water does the pool hold? the swimming pool holds □ of water. (simplify your answer. type an integer or a decimal.) object | surface area | volume; sphere | 4πr² | (4/3)πr³; cube | 6l² | l³; rectangular prism | 2(lw + lh + wh) | lwh; right circular cylinder | 2πr² + 2πrh | πr²h

Explanation:

Step1: Identify the formula for volume of the pool

The swimming pool is a rectangular prism. The formula for the volume \( V \) of a rectangular prism is \( V = lwh \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height (depth in this case).

Step2: Substitute the given values into the formula

Given \( l = 50 \) meters, \( w = 40 \) meters, and \( h = 3.5 \) meters. Substitute these values into the formula:
\( V = 50\times40\times3.5 \)

Step3: Calculate the product

First, calculate \( 50\times40 = 2000 \). Then, multiply the result by \( 3.5 \):
\( 2000\times3.5 = 7000 \)

Answer:

7000 cubic meters