Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Understand the Problem
The question is asking to calculate the surface area of a rectangular prism based on the given dimensions in the image and to provide the answer with correct units.
Answer
The surface area of the rectangular prism is expressed as $S = 2lw + 2lh + 2wh$ m².
Answer for screen readers
The surface area of the rectangular prism is $S = 2lw + 2lh + 2wh$ m².
Steps to Solve
- Identify dimensions of the prism
Assuming the dimensions of the rectangular prism are given as length $l$, width $w$, and height $h$.
- Surface area formula
The formula for the surface area $S$ of a rectangular prism is given by:
$$ S = 2lw + 2lh + 2wh $$
This accounts for all six faces of the prism.
- Substitute values
Plug in the values for $l$, $w$, and $h$ into the formula from step 2 to calculate the surface area.
- Calculate the result
Perform the calculations to determine the final value of the surface area.
- Include the unit
Ensure to express the answer in square meters (m²).
The surface area of the rectangular prism is $S = 2lw + 2lh + 2wh$ m².
More Information
The surface area of a rectangular prism represents the total area of all the surfaces of the prism. This concept is often used in geometry and real-world applications such as packaging and construction.
Tips
- Forgetting to include the correct units in the answer.
- Misapplying the surface area formula or forgetting to account for all faces of the prism.
- Incorrectly calculating the dimensions due to misreading them.
