Math Problem Statement
Solution
Let's analyze the problem step by step.
Part (a) - Identifying the 3D shape:
The given net consists of six squares arranged in a cross pattern, which is a typical net for a cube. Each face of the cube is a square, and there are six faces in total.
Answer: The 3D shape formed by the net is a cube.
Part (b) - Calculating the area of the net:
Each small square in the grid has an area of , as given in the question. There are 6 squares in the net, so the total area is:
Answer: The total area of the net is 6 cm².
Would you like further details or clarifications?
Here are 5 related questions to explore the concept further:
- How do you calculate the surface area of a cube?
- Can a cube's net be arranged in any other way? If yes, how?
- What is the volume of a cube if each edge is 1 cm?
- How many other types of nets can be used to create a cube?
- What is the relationship between the net and the 3D shape it forms?
Tip: When identifying nets of 3D shapes, count the faces and ensure they match the number of surfaces in the 3D shape!
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Math Problem Analysis
Mathematical Concepts
Geometry
3D Shapes
Area Calculation
Formulas
Area of square = side²
Theorems
Nets of 3D shapes
Suitable Grade Level
Grades 5-7