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 asks to calculate the volume of a sandbox given its length, width, and height. We need to find the volume in cubic inches, which involves multiplying the three dimensions together.
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 problem provides the length, width, and height of the sandbox: Length = 96 inches Width = 72 inches Height = 27 inches
- Calculate the volume
The volume of a rectangular prism (like the sandbox) is found by multiplying its length, width, and height. Volume = Length $\times$ Width $\times$ Height
- Substitute and compute
Substitute the given values into the volume formula: Volume = $96 \times 72 \times 27$
- Calculate the product
Volume = $96 \times 72 \times 27 = 186624$
The sandbox will hold $186624$ cubic inches of sand.
More Information
The volume represents the amount of space inside the sandbox, which determines how much sand it can hold. The units are cubic inches because we are measuring a three-dimensional space using inches as the unit of length.
Tips
A common mistake is to add the dimensions instead of multiplying them. Remember that volume is calculated by multiplying length, width and height. Also, ensure you are using the correct units -- cubic inches in this case. Another mistake would be to use the wrong order of operations, but since this problem only involves multiplication, it's less likely.
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