Math Problem Statement
What is the surface area of this cube?
Solution
The cube shown in the image has each side measuring 6 cm. The surface area of a cube is calculated using the formula , where is the length of one side.
Here, each side of the cube is 6 cm, so:
Therefore, the surface area of the cube is 216 square centimeters.
Would you like to explore further details or have any questions about this calculation? Here are some follow-up questions you might consider:
- What is the volume of this cube?
- How does the surface area change if the side length doubles?
- What would be the surface area if the shape were a rectangular prism with the same height as this cube but different length and width?
- Can you calculate the diagonal of this cube?
- How would the calculations differ if this were a sphere with a diameter of 6 cm?
Tip: Always ensure to square the length of the side correctly when computing the area of a face in cubic structures.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area Calculation
Formulas
Surface area of a cube = 6s^2
Theorems
Basic Geometric Properties of a Cube
Suitable Grade Level
Grades 6-8