Question

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)

C

O
153, 125 mm2

O 170,000 mm2

3,062.5 mm2

3,400 mm2

Answer 1

Find the area of one pyramid, then multiply by 50.

Base area = 1/2 × base × height = 1/2 × 40 mm × 35 mm = 700 mm².

Each lateral face area = 1/2 × base × slant height = 1/2 × 40 mm × 45 mm = 900 mm².
Three lateral faces = 3 × 900 = 2700 mm².

Total per bag = 700 + 2700 = 3400 mm².
For 50 bags = 50 × 3400 = 170,000 mm².

Answer: 170,000 mm².