How many cubic inches of sand will a sandbox hold if it has a length of 96 inches, a width of 72 inches, and a height of 27 inches?
Understand the Problem
The question requires calculating the volume of a rectangular sandbox given its length, width, and height. The volume will represent the number of cubic inches of sand the sandbox can hold. We will use the formula for the volume of a rectangular prism: Volume = length * width * height.
Answer
$186624$ cubic inches
Answer for screen readers
The sandbox will hold $186624$ cubic inches of sand.
Steps to Solve
- Identify the given dimensions
The length of the sandbox is 96 inches, the width is 72 inches, and the height is 27 inches.
- Apply the volume formular
The volume $V$ of a rectangular prism (sandbox) is given by the formula:
$V = \text{length} \times \text{width} \times \text{height}$
- Substitute the given values into the formular Substitute the given values into the volume formula:
$V = 96 \times 72 \times 27$
- Calculate the volume
Multiply the numbers to find the volume:
$V = 96 \times 72 \times 27= 186624$
Therefore, the volume of the sandbox is 186624 cubic inches.
The sandbox will hold $186624$ cubic inches of sand.
More Information
The volume represents the amount of three-dimensional space the sandbox occupies, indicating how much sand it can contain.
Tips
A common mistake is to mix up the dimensions (length, width, and height) or to use the wrong formula. Ensure you are using the correct formula for the volume of a rectangular prism and that you correctly identify each dimension. Also, a calculation error can occur, so double-check your multiplication.
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