A rectangular prism has a length of 10 inches, a width of 5.5 inches, and a height of 4 inches. What is its volume?
Understand the Problem
The question describes a rectangular prism with given dimensions (length, width, and height) and likely asks for some calculation related to it, such as volume or surface area.
Answer
$220$ cubic inches
Answer for screen readers
The volume of the rectangular prism is $220$ cubic inches.
Steps to Solve
- Identify the given dimensions
The problem states the length $l$, width $w$, and height $h$ of the rectangular prism. $l = 10$ inches $w = 5.5$ inches $h = 4$ inches
- Assume the question is asking for the volume
A common question related to rectangular prisms is finding the volume. The volume $V$ of a rectangular prism is given by the formula:
$$V = lwh$$
- Substitute the given values into the formula
Substitute the values of $l$, $w$, and $h$ into the volume formula: $V = (10 \text{ inches}) \times (5.5 \text{ inches}) \times (4 \text{ inches})$
- Calculate the volume
$V = 10 \times 5.5 \times 4 = 55 \times 4 = 220$ cubic inches.
The volume of the rectangular prism is $220$ cubic inches.
More Information
The volume of a rectangular prism is the amount of space it occupies, measured in cubic units.
Tips
A common mistake is using the incorrect formula, such as for surface area instead of volume. Another is making arithmetic errors when multiplying the dimensions. Forgetting to include the units (cubic inches in this case) is also a frequent error.
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