QQuestionMathematics
QuestionMathematics
Find the surface area of the rectangular prism with side lengths 3 units, 4 units, and 2 units.
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Answer
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Step 1:: Recall the formula for the surface area of a rectangular prism.
where $l$ is the length, $w$ is the width, and $h$ is the height of the prism.
The surface area of a rectangular prism can be calculated using the formula:
Step 2:: Identify the given dimensions and plug them into the formula.
A = 2(3 \text{ units})(4 \text{ units}) + 2(3 \text{ units})(2 \text{ units}) + 2(4 \text{ units})(2 \text{ units})
Plugging these values into the formula, we get:
Step 3:: Calculate the surface area.
\begin{align*}
Now, we just need to perform the multiplication and addition: A &= 2(3 \text{ units})(4 \text{ units}) + 2(3 \text{ units})(2 \text{ units}) + 2(4 \text{ units})(2 \text{ units}) \ &= 24 \text{ square units} + 12 \text{ square units} + 16 \text{ square units} \ &= 52 \text{ square units} \end{align*}
Final Answer
The surface area of the rectangular prism is 52 square units.
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