Math Problem Statement
Solution
The problem asks for the surface area of the rectangular prism whose net is shown in the diagram. To solve, we calculate the total surface area of all six rectangular faces.
Dimensions of the rectangular prism:
- The prism consists of:
- 2 rectangular faces measuring ,
- 2 rectangular faces measuring ,
- 2 rectangular faces measuring .
Surface Area Calculation:
-
Calculate the area of each pair of rectangles:
- ,
- ,
- .
-
Add the areas of all six rectangles:
Final Answer:
The surface area of the rectangular prism is:
Would you like a detailed explanation of any of these steps or have additional questions?
Here are 5 related questions to explore:
- How do you calculate the surface area of a cube?
- What happens to the surface area if you double all the dimensions of a prism?
- Can you calculate the volume of this prism with the given dimensions?
- How does the net of a triangular prism differ from that of a rectangular prism?
- What is the relationship between the dimensions and surface area for any rectangular prism?
Tip: Always double-check the dimensions of the net to ensure you’ve identified all the faces of the 3D figure!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Nets of 3D Shapes
Formulas
Surface Area = 2(lw + lh + wh)
Theorems
Surface area of a rectangular prism
Suitable Grade Level
Grade 6-8
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