To find the surface area of one triangular pyramid tea bag, we need to calculate the base area and the lateral area.
Base area of equilateral triangle = (sqrt(3)/4)*(side length)^2
Base area = (sqrt(3)/4)*(40 mm)^2 = 692.82 mm^2
Lateral area of one face = (1/2)*perimeter*slant height
Lateral area = (1/2)*((3*40 mm)*45 mm) = 1,350 mm^2
Total area of one tea bag = 3*(base area) + 3*(lateral area) = 4,423.46 mm^2
Total area for 50 tea bags = 50 * 4,423.46 mm^2 = 221,173 mm^2
Therefore, the correct answer is approximately 221,173 mm.
In fact he makes nylon tea bags. The bags are in the shape of a triangular pyramid how much neon is needed to make 50 tea bags given to 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
3,062.5 mm
153,125 mm
3,400 mm
170,000 mm
1 answer
1 answer