Math Problem Statement
Find the surface area of the prism. The prism is a cube with side length 7 yards.
Solution
To solve this problem, we need to calculate the surface area of the given cube.
Steps to Solve:
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Cube Basics:
- A cube has 6 identical square faces.
- The surface area of a cube is given by:
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Plugging in Values:
- The side length of the cube is .
- Substituting into the formula:
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Calculations:
Final Answer:
The surface area of the cube is:
Would you like a detailed explanation of how surface area relates to other prisms?
Here are five related questions for you to consider:
- How is the surface area formula different for a rectangular prism?
- What is the relationship between volume and surface area in a cube?
- How would the surface area change if the side length doubled?
- How do we calculate the surface area for non-cubical solids like cylinders?
- Why does a cube have the smallest surface area for a given volume compared to other shapes?
Tip: Always double-check whether a prism is a cube or rectangular, as it changes the calculations!
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area of Prisms
Formulas
Surface Area of a Cube = 6 × (side length)^2
Theorems
Surface Area Calculation
Suitable Grade Level
Grades 6-8