A factory makes nylon tea bags. The bags are in the shape of a triangular pyramid. How much nylon is needed to make 50 tea bags given the following dimensions? Base of the equilateral triangles: 40 mm Height of the base triangle: 35 mm Slant height of the equilateral triangular faces: 45 mm (1 point) Responses 170,000 mm2 170,000 mm squared 3,400 mm2 3,400 mm squared 153,125 mm2 153,125 mm squared 3,062.5 mm2

Answer 1

To calculate the total amount of nylon needed to make 50 tea bags, we first need to calculate the surface area of one triangular pyramid.

The surface area of a triangular pyramid is given by the formula:
Surface Area = (0.5 * base * slant height) + (3 * (0.5 * base * height))

Plugging in the values:
Surface Area = (0.5 * 40 * 45) + (3 * (0.5 * 40 * 35))
Surface Area = (0.5 * 1800) + (3 * (0.5 * 1400))
Surface Area = 900 + (3 * 700)
Surface Area = 900 + 2100
Surface Area = 3000

Now, to calculate the total amount of nylon needed for 50 tea bags:
Total Nylon needed = Surface Area * 50
Total Nylon needed = 3000 * 50
Total Nylon needed = 150,000 mm squared

Therefore, the correct answer is 150,000 mm squared.

Answer 2

choose a answer choice

Answer 3

170,000 mm2