Applying nets: Practical examples of surface area for Grade 6 math

📚 Quick Study Guide

📐 Surface area is the total area of all the faces of a 3D shape. 🧊 A net is a 2D pattern that can be folded to form a 3D shape. ➕ To find the surface area using a net, calculate the area of each face in the net and then add them together. 📏 Common 3D shapes include cubes, rectangular prisms, triangular prisms, and pyramids. 💡 Remember the formulas for area: Rectangle: $A = l \times w$, Triangle: $A = \frac{1}{2} \times b \times h$, Square: $A = s^2$ 🔢 Units for surface area are always squared (e.g., $cm^2$, $m^2$, $in^2$). ✍️ Always label your units!

✏️ Practice Quiz

1. What is a net in the context of 3D shapes?
   1. A type of fishing gear.
   2. A 2D pattern that can be folded to form a 3D shape.
   3. The amount of liquid a 3D shape can hold.
   4. The perimeter of a 3D shape.
2. A cube has sides of 5 cm each. What is the surface area of the cube?
   1. $25 cm^2$
   2. $100 cm^2$
   3. $150 cm^2$
   4. $125 cm^2$
3. A rectangular prism has length 8 cm, width 4 cm, and height 3 cm. What is its surface area?
   1. $96 cm^2$
   2. $120 cm^2$
   3. $136 cm^2$
   4. $184 cm^2$
4. A triangular prism has a triangular face with a base of 6 cm and a height of 4 cm. The length of the prism is 10 cm. What is the area of one triangular face?
   1. $6 cm^2$
   2. $10 cm^2$
   3. $12 cm^2$
   4. $24 cm^2$
5. If the surface area of a cube is $54 cm^2$, what is the length of one side?
   1. $3 cm$
   2. $6 cm$
   3. $9 cm$
   4. $27 cm$
6. Which of the following is NOT a 3D shape for which you can create a net?
   1. Sphere
   2. Cube
   3. Pyramid
   4. Rectangular Prism
7. A square pyramid has a base with sides of 4 cm and triangular faces with a height of 5 cm. What is the surface area of the pyramid?
   1. $16 cm^2$
   2. $40 cm^2$
   3. $56 cm^2$
   4. $72 cm^2$