The YMCA lap pool is a right rectangular prism 36.8m long by 20m wide. The pool contains 1472m^(3) of water. How deep is the water in the pool? m

Identify formula: Identify the formula to calculate the volume of a right rectangular prism. The volume (V) of a right rectangular prism can be calculated by multiplying its length (L), width (W), and height (H). V = L * W * HGiven values: Given values for the problem. The length (L) of the pool is 36.8 meters, the width (W) is 20 meters, and the volume (V) of water is 1472 cubic meters. L = 36.8m, W = 20m, V = 1472m^3Solve for height: Solve for the height (H), which represents the depth of the water in the pool. Using the formula V = L * W * H, we can rearrange it to solve for H: H = V / (L * W)Substitute and calculate: Substitute the given values into the formula and calculate the depth of the water. H = 1472m^3 / (36.8m * 20m) H = 1472m^3 / 736m^2 H = 2m

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The YMCA lap pool is a right rectangular prism
36.8m long by
20m wide. The pool contains
1472m^(3) of water.
How deep is the water in the pool?
m

The YMCA lap pool is a right rectangular prism $36.8 \mathrm{~m}$ long by $20 \mathrm{~m}$ wide. The pool contains $1472 \mathrm{~m}^{3}$ of water. $\newline$ How deep is the water in the pool? $\newline$ m

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Algebra 2

Pythagorean Theorem and its converse

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Q. The YMCA lap pool is a right rectangular prism

36.8 \mathrm{~m}

long by

20 \mathrm{~m}

wide. The pool contains

1472 \mathrm{~m}^{3}

of water.

\newline

How deep is the water in the pool?

\newline

Identify formula: Identify the formula to calculate the volume of a right rectangular prism. $\newline$ The volume $V$ of a right rectangular prism can be calculated by multiplying its length $L$ , width $W$ , and height $H$ . $\newline$ $V = L \times W \times H$
Given values: Given values for the problem. $\newline$ The length $L$ of the pool is $36.8$ meters, the width $W$ is $20$ meters, and the volume $V$ of water is $1472$ cubic meters. $\newline$ $L = 36.8\,\text{m}$ , $W = 20\,\text{m}$ , $V = 1472\,\text{m}^3$
Solve for height: Solve for the height $H$ , which represents the depth of the water in the pool. $\newline$ Using the formula $V = L \times W \times H$ , we can rearrange it to solve for $H$ : $\newline$ $H = \frac{V}{L \times W}$
Substitute and calculate: Substitute the given values into the formula and calculate the depth of the water. $\newline$ $H = \frac{1472m^3}{(36.8m \times 20m)}$ $\newline$ $H = \frac{1472m^3}{736m^2}$ $\newline$ $H = 2m$