QQuestionMathematics
QuestionMathematics
What is the surface area of this rectangular prism?
# 8 In.
8 in.
9 in.
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Answer
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Step 1:I'll solve this step by step using precise LaTeX formatting:
Step 2:: Identify the Dimensions
- Height = $$8 \text{ in}
The rectangular prism has the following dimensions:
Step 3:: Recall the Surface Area Formula
- $$h$$ = height
The surface area of a rectangular prism is calculated by the formula: Where:
Step 4:: Substitute the Dimensions
SA = 2[(8 \text{ in})(9 \text{ in}) + (8 \text{ in})(8 \text{ in}) + (9 \text{ in})(8 \text{ in})]
Step 5:: Calculate Each Term
- $$wh = (9)(8) = 72 \text{ in}^{2}
- lh = (8)(8) = 64 \text{ in}^{2}
Step 6:: Complete the Calculation
SA = 416 \text{ in}^{2}
SA = 2(208)
Final Answer
The surface area of the rectangular prism is 416 \text{ in}^{2}.
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