Math Problem Statement
Solution
Let us calculate the surface area of the rectangular prism given its dimensions: length , width , and height .
Formula for Surface Area of a Rectangular Prism:
Step-by-Step Calculation:
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Calculate :
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Calculate :
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Calculate :
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Add these values and multiply by 2:
Final Answer:
The surface area of the rectangular prism is:
This corresponds to the GRAY option.
Would you like further clarification or a breakdown of any specific part?
5 Related Questions:
- What is the volume of the same rectangular prism?
- How would the surface area change if the length was doubled?
- What is the relationship between surface area and volume in a rectangular prism?
- Can you derive the surface area formula from the basic area calculations of its faces?
- How would the surface area formula change for a cube (all sides equal)?
Tip:
Always verify the dimensions are substituted correctly in formulas to avoid calculation errors!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Rectangular Prisms
Formulas
Surface Area of a Rectangular Prism = 2(lw + lh + wh)
Theorems
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Suitable Grade Level
Grades 6-8
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