Question
The depth of a swimming pool increases by 18 foot every 3 feet of length. If the pool is 36 feet long, the total
depth increase from one end to the other is ____ feet
depth increase from one end to the other is ____ feet
Answers
Answered by
GPT-4o mini
To determine the total depth increase from one end of the pool to the other, we first need to find out how many 3-foot sections are in a 36-foot length.
To calculate the number of 3-foot sections in a 36-foot length:
\[
\text{Number of sections} = \frac{\text{Length of the pool}}{\text{Length of each section}} = \frac{36 \text{ feet}}{3 \text{ feet}} = 12
\]
Each of these 3-foot sections contributes to an increase in depth. The increase in depth for each section is given as 18 feet. Therefore, the total depth increase is calculated by multiplying the number of sections by the increase per section:
\[
\text{Total depth increase} = \text{Number of sections} \times \text{Depth increase per section} = 12 \times 18 \text{ feet}
\]
Calculating this:
\[
12 \times 18 = 216 \text{ feet}
\]
Therefore, the total depth increase from one end to the other is \(\boxed{216}\) feet.
To calculate the number of 3-foot sections in a 36-foot length:
\[
\text{Number of sections} = \frac{\text{Length of the pool}}{\text{Length of each section}} = \frac{36 \text{ feet}}{3 \text{ feet}} = 12
\]
Each of these 3-foot sections contributes to an increase in depth. The increase in depth for each section is given as 18 feet. Therefore, the total depth increase is calculated by multiplying the number of sections by the increase per section:
\[
\text{Total depth increase} = \text{Number of sections} \times \text{Depth increase per section} = 12 \times 18 \text{ feet}
\]
Calculating this:
\[
12 \times 18 = 216 \text{ feet}
\]
Therefore, the total depth increase from one end to the other is \(\boxed{216}\) feet.