Math Problem Statement

a) What 3D shape does the net below form? b) Work out the area of the net. Remember to give the correct units.

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 1cm21 \, \text{cm}^2, as given in the question. There are 6 squares in the net, so the total area is:

Area of net=6×1cm2=6cm2\text{Area of net} = 6 \times 1 \, \text{cm}^2 = 6 \, \text{cm}^2

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:

  1. How do you calculate the surface area of a cube?
  2. Can a cube's net be arranged in any other way? If yes, how?
  3. What is the volume of a cube if each edge is 1 cm?
  4. How many other types of nets can be used to create a cube?
  5. 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