🌟 Surface Area Using Nets 🌟

Hi my amazing Grade 6 mathematicians! 👋

Today we’re learning how to find the Surface Area using Nets! A net is the flat pattern you get when you unfold a 3D shape. To find surface area, we simply calculate the area of every face in the net and add them together. It’s like laying out all the wrapping paper flat before folding it around a gift!

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1. Net of a Cube

Top

Left

Front

Right

Bottom

Back

This net has 6 squares. Each square has the same area.

2. How to Find Surface Area Using a Net

Surface Area = Area of Face 1 + Area of Face 2 + ... + Area of Face 6

For a rectangular prism, we can use the shortcut:
SA = 2(lw + lh + wh)

3. Step-by-Step Example

Box dimensions: Length 8 cm, Width 5 cm, Height 4 cm

Using the net method:

2 faces (top & bottom): 8 × 5 = 40 cm² each → 80 cm ²
2 faces (front & back): 8 × 4 = 32 cm² each → 64 cm²
2 faces (sides): 5 × 4 = 20 cm² each → 40 cm²

Total Surface Area = 80 + 64 + 40 = 184 cm²

4. Let’s Practice Together! 🎉

Question 1

A cube has edges of 6 cm. What is its surface area using the net?

216 cm²
6 faces × (6×6) = 6 × 36 = 216 ⭐

Question 2

A rectangular prism has length 10 cm, width 6 cm, height 5 cm. Find the surface area.

280 cm²
2(10×6 + 10×5 + 6×5) = 2(60+50+30) = 2×140 = 280 ⭐

Question 3

Why is using a net a good way to find surface area?

Because you can see all the faces laid flat and add their areas easily ⭐

5. Surface Area Using Nets in Real Life 🇨🇦

• Making cardboard boxes for shipping
• Wrapping gifts with the right amount of paper
• Painting all sides of a wooden crate
• Designing packaging for products in stores
• Building models or crafts in art class

You are now great at Surface Area with Nets! 🌟

Fantastic work! You can now unfold a shape in your mind and find its total surface area.

Try drawing a net of a small box at home and calculate its surface area!

Love and proud high-fives,
Mrs. Brenda ❤️

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