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Short Answerbe qetiu1 boxes of two different sizes. The bigger has dimensions 20 cm, 15om and 5 cm and the smaller dimensions 16 cm, 12 cm and 4 cm. 4% of the total surfacearea is required extra for all overlaps. If the cost of the card board is 10 for one square13. Ahmatre, find the cost of the cardboard for supplying 200 boxes of each kind

Answer»

The cost of larger box is Rs 197.6 and smaller box is Rs 63.232

Step-by-step explanation:

i) Bigger box:

L = 20 cm = 0.2 m

W = 15 cm = 0.15 m

H = 5 cm = 0.05 m

hence total surface area = 2(LW + LH + WH)

= 2(0.2x0.15 + 0.2x0.05 + 0.15x0.05)

= 2(0.03 + 0.01 + 0.0075)

= 0.095 m²

4% of TSA is used for overlapping = 0.04 x 0.095 = 0.0038

Hence Net card board used for 1 larger box = 0.095 + 0.0038 = 0.0988

Net card board used for 200 larger box = 200 x 0.0988 = 19.76 m²

Hence total cost of 200 box Rs 10 per m² = 10 x 19.76 = 197.6

ii) Smaller box

L = 16 cm = 0.16 m

W = 12 cm = 0.12 m

H = 4 cm = 0.04 m

hence total surface area = 2(LW + LH + WH)

= 2(0.16x0.12 + 0.16x0.04 + 0.12x0.04)

= 2(0.0192 + 0.0064 + 0.0048)

= 0.0304 m²

4% of TSA is used for overlapping = 0.04 x 0.0304 = 0.001216

Hence Net card board used for 1 smaller box = 0.0304 + 0.001216

= 0.031616

Net card board used for 200 smaller box = 200 x 0.031616 = 6.3232 m²

Hence total cost of 200 box Rs 10 per m² = 10 x 6.3232 = 63.232

Hence the cost of larger box is Rs 197.6 and smaller box is Rs 63.232



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