Question

Amanda purchase a bottle of perfume that is in the shape of a square pyramid. The slant height of the bottle is 4.5 inches and the base is 2 inches. If the glass cost $0.05/sq inch to make the bottle, how much did it cost to make the bottle for the perfume?

Please provide steps

Answer 1

1.006225775

Explanation:

Answer 2

1. First, find the area of each face of the square pyramid using the slant height and base.

- Since a square pyramid has a square base, the area of one face is simply (1/2) * base * slant height.

- Plugging in the values given, we get: (1/2) * 2 inches * 4.5 inches = 4.5 square inches.

- There are four faces in total, so the total surface area is 4 times this value: 4 * 4.5 sq inches = 18 sq inches.

2. Now that we have the surface area of the bottle, we can calculate its cost based on the given rate of $0.05/sq inch.

- Multiplying the surface area by $0.05/sq inch gives us: 18 sq inches * $0.05/sq inch = $0.90.

Therefore, it cost $0.90 to make the bottle for Amanda's perfume at a rate of $0.05/sq inch for glass-making cost.