elan wants to sell candy and makes the packaging for his candy in the hape of a square based pyramid. the actual size of the packaging is 36 inches for the square side and 40 inches for the height of the triangle . the scale that alan uses for his design is 1 cm in the drawing size representing 4 inches in actual size

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!

Elan wants to sell candy and makes the packaging for his candy in the shape of a square-based pyramid. The actual size of the packaging is 36 inches for the square side and 40 inches for the height of the triangle. The scale that Elan uses for his design is 1 cm in the drawing size representing 4 inches in actual size.

Explore how to design a square-based pyramid candy packaging with real-world dimensions: 36-inch base side and 40-inch triangular height. Learn about scale conversion, surface area, and volume calculations, ideal for Grades 8-10 students working on geometry problems.

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