Elan is designing a square-based pyramid packaging for his candy, where the actual dimensions are:

• The base of the square is 36 inches on each side.
• The height of each triangular face (from the center of the base to the peak) is 40 inches.

To understand the scaled drawing dimensions based on Elan's scale, we note that the scale is 1 cm in the drawing representing 4 inches of the actual packaging size. Let's calculate the dimensions in the drawing.

1. Base Side in the Drawing:

The actual base side is 36 inches. Using the scale (1 cm = 4 inches), we can convert this: $\frac{36 \, \text{inches}}{4 \, \text{inches per cm}} = 9 \, \text{cm}$ So, the base side of the square in the drawing will be 9 cm.

2. Height of the Triangular Face in the Drawing:

The actual height of the triangular face is 40 inches. Using the same scale: $\frac{40 \, \text{inches}}{4 \, \text{inches per cm}} = 10 \, \text{cm}$ Thus, the height of the triangular face in the drawing will be 10 cm.

Summary of Drawing Dimensions:

• The base side of the square in the drawing will be 9 cm.
• The height of each triangular face in the drawing will be 10 cm.

Would you like further details on any calculations, or do you have other questions?

5 Questions to Consider:

1. What is the total surface area of the pyramid?
2. How much volume can this candy packaging hold?
3. What would the drawing dimensions be if Elan used a scale of 1 cm = 2 inches?
4. How does the slant height of the pyramid relate to its overall height?
5. How can Elan ensure his packaging minimizes material waste?

Tip:

When scaling objects for design, always verify the ratio between dimensions to avoid distortion in proportions!