Barry is filling a wading pool with water. The pool is shaped like a rectangular prism, with a width of 5 feet, a length of 7 feet, and a height of 3 feet. What is the volume of th... Barry is filling a wading pool with water. The pool is shaped like a rectangular prism, with a width of 5 feet, a length of 7 feet, and a height of 3 feet. What is the volume of the pool?
Understand the Problem
The question asks us to calculate the volume of a rectangular prism shaped pool. We are given the width, length, and height, and we need to use these values to find the volume in cubic feet.
Answer
$105$
Answer for screen readers
$105$
Steps to Solve
- Identify the given values
We are given the width = 5 feet, length = 7 feet, and height = 3 feet of the rectangular prism.
- Recall the formula for the volume of a rectangular prism
The formula for the volume $V$ of a rectangular prism is: $$ V = \text{length} \times \text{width} \times \text{height} $$
- Plug in the given values into the formula
Substitute the given values into the volume formula: $$ V = 7 \times 5 \times 3 $$
- Calculate the volume
Multiply the values to find the volume: $V = 7 \times 5 \times 3 = 35 \times 3 = 105$
$105$
More Information
The volume of the wading pool is 105 cubic feet. This represents the amount of space inside the pool, which is needed to determine how much water is required to fill it.
Tips
A common mistake is confusing the formulas for volume and surface area or using the wrong dimensions in the formula. Ensure you use the correct formula (Volume = length × width × height) and plug in the correct values for each dimension.
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