Math Problem Statement
What is the surface area of a cube with a side length of 4 cm?
Solution
The image you uploaded shows a problem related to finding the surface area of a cube. The problem asks for the surface area of a cube with a side length of 4 cm.
Solution:
The surface area of a cube is calculated using the formula:
where is the side length of the cube.
Given:
- Side length cm
Substitute the value into the formula:
Answer:
The surface area of the cube is 96 cm².
Would you like more details on how this formula is derived or have any other questions?
Related Questions:
- What is the volume of the same cube?
- If the side length of the cube is doubled, what will be the new surface area?
- How does the surface area change if only one side is doubled?
- Can you find the diagonal of the cube using the side length?
- What is the ratio of the surface area to the volume of this cube?
Tip:
Remember, the surface area formula for a cube is always because a cube has six faces, each of which is a square with area .
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area Calculation
Formulas
Surface area of a cube A = 6s^2
Theorems
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Suitable Grade Level
Grades 6-8