The total amount of nylon needed to make 50 tea bags can be calculated by finding the surface area of one triangular pyramid and then multiplying it by 50.
Surface area of one triangular pyramid = Area of the base + 0.5 * Perimeter of the base * Slant height
= 0.5 * (40 * 35) + 0.5 * (3 * 40) * 45
= 700 + 2700
= 3400 mm^2
Total surface area needed for 50 tea bags = 3400 mm^2 * 50 = 170,000 mm^2
Therefore, the correct answer is:
170,000 mm2
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
153,125 mm2
153,125 mm squared
3,400 mm2
3,400 mm squared
170,000 mm2
170,000 mm squared
3,062.5 mm2
3,062.5 mm squared
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1 answer
1 answer