Subhash makes cardboard boxes of two different sizes the biggest has dimensions 20 cm, 15 cm and 5cm and the smaller dimension is 16 cm 12 cm and 4 cm. 4% of the total surface area is required extra for all overlaps. If the cost of the cardboard is rupees 10 for one square metre find the cost of the cardboard for supplying 200 boxes of each kind
Answers
the cost of the cardboard for supplying 200 boxes of each kind = 324.064 Rs
Step-by-step explanation:
Surface Area of bigger box 20 cm, 15 cm and 5cm
= 2(20 * 15 + 20 * 5 + 15 * 5)
= 2(300 + 100 + 75)
= 2 (475)
= 950 cm²
4% of the total surface area is required extra for all overlaps = (4/100)950 = 38 cm²
Total surface area for one bigger box = 950 + 38 = 988 cm²
surface area for 200 bigger box = 200 * 988 = 197600 cm²
= 19.76 m²
cost of the cardboard is rupees 10 for 1 m²
Cost of 19.76 m² = 19.76 * 10 = 197.6 Rs
Surface Area of Smaller box 16 cm, 12 cm and 4cm
= 2(16 * 12 + 16 * 4 + 12 * 4)
= 2(192 + 64 + 48)
= 2 (304)
= 608 cm²
4% of the total surface area is required extra for all overlaps = (4/100)608 = 24.32 cm²
Total surface area for one smaller box = 608 + 24.32 = 632.32 cm²
surface area for 200 smaller box = 200 * 632.32 = 126464 cm²
= 12.6464 m²
cost of the cardboard is rupees 10 for 1 m²
Cost of 12.6464 m² = 12.6464 * 10 = 126.464 Rs
Total cost = 197.6 + 126.464 = 324.064 Rs
the cost of the cardboard for supplying 200 boxes of each kind = 324.064 Rs
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