Math Problem Statement
What is the surface area of the rectangular prism displayed in the grid? The answer choices are 52 units², 26 units², 64 units², and 50 units².
Solution
From the image you provided, the question appears to be about calculating the surface area of a rectangular prism (cuboid). There are several answer choices, with the dimensions of the prism displayed in the grid.
To calculate the surface area of a rectangular prism, we use the formula:
Where:
- = length
- = width
- = height
Step-by-Step:
- Count the number of cubes along the length, width, and height.
- Plug those values into the formula.
- Calculate each part and sum them up.
Would you like me to help with further breakdown or clarification of the steps?
Here are 5 related questions to help deepen your understanding:
- How does the surface area of a cube compare to that of a rectangular prism?
- What happens to the surface area if you double the dimensions of a rectangular prism?
- How can you use a net to calculate the surface area of a rectangular prism?
- What is the difference between surface area and volume in 3D shapes?
- Can surface area ever be smaller than the volume for a given shape?
Tip: Always visualize or sketch the net of a 3D figure to make surface area calculations easier!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Rectangular Prisms
Formulas
Surface Area = 2lw + 2lh + 2wh
Theorems
Surface area of rectangular prisms
Suitable Grade Level
Grades 5-7