Identify the original dimensions of the box and the given scale.

The box has the following dimensions:
Length ($L$) = $30 \text{ cm}$
Width ($W$) = $20 \text{ cm}$
Height ($H$) = $10 \text{ cm}$
The scale for drawing the net is $1:4$. This means that $1 \text{ cm}$ on the drawing represents $4 \text{ cm}$ of the actual box.

To find the scaled dimension, divide the original dimension by the scale factor (4).
Scaled Length ($L_s$) = $\frac{L}{4}$
Scaled Width ($W_s$) = $\frac{W}{4}$
Scaled Height ($H_s$) = $\frac{H}{4}$

To draw the net of the box (excluding the lid) on an A4 page, you would use these scaled dimensions. For example, the base of the box would be drawn as a rectangle with dimensions $7.5 \text{ cm} \times 5 \text{ cm}$. The four side faces would be attached to this base: two rectangles of $7.5 \text{ cm} \times 2.5 \text{ cm}$ (for the length sides) and two rectangles of $5 \text{ cm} \times 2.5 \text{ cm}$ (for the width sides). Remember to include small flaps for stability. According to the instructions, you must label the sides of your drawing with the original measurements of the box, not the scaled ones.

The scaled dimensions for drawing the net are:

• Length: $\mathbf{7.5 \text{ cm}}$
• Width: $\mathbf{5 \text{ cm}}$
• Height: $\mathbf{2.5 \text{ cm}}$