The Olympic-size pool at the recreational center is a right rectangular prism 50m long and 25m wide. The pool contains 3000m^(3) of water. How deep is the water in the pool? m

Identify Volume Formula: To find the depth of the pool, we need to use the volume formula for a rectangular prism, which is Volume = Length × Width × Height. We know the volume, length, and width, so we can solve for the height, which represents the depth of the water in the pool.List Known Values: First, let's write down the known values: Volume (V) = 3000 m³ Length (L) = 50 m Width (W) = 25 m We need to find the Height (H), which is the depth of the water.Apply Volume Formula: Using the formula for the volume of a rectangular prism, we have: V = L × W × H Plugging in the known values, we get: 3000 m³ = 50 m × 25 m × HCalculate Height: To find the depth (H), we need to divide the volume by the product of the length and width: H = V / (L × W) H = 3000 m³ / (50 m × 25 m)Final Depth Calculation: Now, we perform the calculation: H = 3000 m³ / 1250 m² H = 2.4 m So, the depth of the water in the pool is 2.4 meters.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The Olympic-size pool at the recreational center is a right rectangular prism
50m long and
25m wide. The pool contains
3000m^(3) of water.
How deep is the water in the pool?
m

The Olympic-size pool at the recreational center is a right rectangular prism $50 \mathrm{~m}$ long and $25 \mathrm{~m}$ wide. The pool contains $3000 \mathrm{~m}^{3}$ of water. $\newline$ How deep is the water in the pool? $\newline$ m

View step-by-step help

Home

Math Problems

Algebra 2

Pythagorean Theorem and its converse

Full solution

Q. The Olympic-size pool at the recreational center is a right rectangular prism

50 \mathrm{~m}

long and

25 \mathrm{~m}

wide. The pool contains

3000 \mathrm{~m}^{3}

of water.

\newline

How deep is the water in the pool?

\newline

Identify Volume Formula: To find the depth of the pool, we need to use the volume formula for a rectangular prism, which is $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ . We know the volume, length, and width, so we can solve for the height, which represents the depth of the water in the pool.
List Known Values: First, let's write down the known values: $\newline$ Volume $V$ = $3000$ m³ $\newline$ Length $L$ = $50$ m $\newline$ Width $W$ = $25$ m $\newline$ We need to find the Height $H$ , which is the depth of the water.
Apply Volume Formula: Using the formula for the volume of a rectangular prism, we have: $\newline$ $V = L \times W \times H$ $\newline$ Plugging in the known values, we get: $\newline$ $3000 \, \text{m}^3 = 50 \, \text{m} \times 25 \, \text{m} \times H$
Calculate Height: To find the depth $H$ , we need to divide the volume by the product of the length and width: $\newline$ $H = \frac{V}{L \times W}$ $\newline$ $H = \frac{3000 \, \text{m}^3}{50 \, \text{m} \times 25 \, \text{m}}$
Final Depth Calculation: Now, we perform the calculation: $\newline$ $H = \frac{3000 \, \text{m}^3}{1250 \, \text{m}^2}$ $\newline$ $H = 2.4 \, \text{m}$ $\newline$ So, the depth of the water in the pool is $2.4$ meters.