Ahmed makes cardboard boxes of two different sizes.The bigger dimension 20cm, 15cm and 5cm . The smaller dimensions are 16 cm , 12cm and 4cm . 5% of the total surface area is required extra for all overlaps . If the cost of the cardboard is 20 rupees for 1 square meter , find the cost of the cardboard for supplying 200 boxes of each kind.
Answers
Answer:
The dimension of bigger box,
20cm x 15cm x 5cm
The dimension of smaller box,
16cm x 12cm x 4cm
We know that,
the total surface area = 2(lb + lh + bh)
So,
The total surface area of bigger box
= 2(20*15 + 20*5 + 15*5)
= 2(300 + 100 + 75)
= 2*475
= 950 cm^2
Similarly, the total surface area of smaller box
= 2(16*12 + 16*4 + 12*4)
= 2(192 + 64 + 48)
= 2*304
= 608 cm^2
Extra area required for overlaps for both boxes = 5% of total surface area of both boxes
= 5%*(950 + 608)
= 0.05*1558
= 77.9 cm^2
The cost of the cardboard per square meter = Rs. 20 (given)
The cost of the cardboard per square centimeter = 20/10000
= 0.002
Total cost of cardboard used in 200 boxes of each kind
= 200*0.002(950 + 608 + 77.9)
= 0.4*1635.9
= 654.36
Therefore, the total cost of the cardboard for supplying 200 boxes of each kind is Rs. 654.36