Math Problem Statement
Solution
The given image shows a cuboid with dimensions:
- Length: 12 meters
- Width: 7 meters
- Height: 4 meters
To find the surface area of a cuboid, we use the formula:
where:
- is the length,
- is the width,
- is the height.
Substituting the given values:
Now, I'll calculate that.The surface area of the cuboid is .
Would you like further details on the calculation or have any other questions?
Here are some related questions for further exploration:
- What is the volume of this cuboid?
- How would the surface area change if the height doubled?
- What is the difference between surface area and lateral surface area for this cuboid?
- How can you find the diagonal of this cuboid?
- How does surface area scale with the size of the cuboid's dimensions?
Tip: Always check units when solving geometry problems to ensure the final answer makes sense.
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Cuboids
Formulas
Surface area of a cuboid: A = 2(lw + lh + wh)
Theorems
Basic properties of three-dimensional shapes
Suitable Grade Level
Grades 5-7
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