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QuestionMathematics
How do you find the lateral surface area of a rectangular prism?
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Lateral Surface Area
The lateral surface area of a rectangular prism is the sum of the areas of the four vertical faces of the prism, excluding the top and bottom bases.
Step 3:: Identify the Formula
- $$h$$ = height of the prism
The lateral surface area is calculated by finding the sum of the areas of the four rectangular sides: Where:
Step 4:: Calculation Process
To find the lateral surface area:
Step 5:
Multiply length by height and multiply by 2
Step 6:
Multiply width by height and multiply by 2
Step 7:
Add these two results together
Step 8:: Example Calculation
= 70 \mathrm{~m}^{2}
Let's say we have a rectangular prism with: Calculation:
Final Answer
The lateral surface area of a rectangular prism is calculated by multiplying each pair of sides (length × height and width × height) by 2 and then summing these areas.
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