Question

ahmad makes cardboard boxes of two different sizes.the bigger has dimension 20cm' 15cmand 5cm amd the smallest dimension 16cm,12cm,4cm. 4% of the total surface area is required extra for all overlaps.if the cost of the cardboard is ₹10 for one squre metre , find the cost of the cardboard for supplying 200 boxes of each kind.
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Answer 1

Answer:

For bigger box:

Length of the bigger box 20cm

Breadth of the bigger box =15cm

Height of thr bigger box =5cm

So, Total Surface Area of bigger box

=2(lb+bh+hl)

2(20×15+15×5+5×20)

=2(300+75+100)

=2(475)

=950cm

2

For Smaller box:

Length of the smaller box =16cm

Breadth of the smaller box =12cm

Height of the smaller box =4cm

So, Total Surface Area of bigger box

=2(lb+bh+hl)

2(16×12+12×4+4×16)

=2(192+48+64)

=2(304)

=608cm

2

Total surface area of 200 boxes of each type =200(950+608)

=200×1558

=311600cm

2

Extra Area Required =5% of 200(950+608)

=

100

5

×1558×200

=15580cm

2

So, Total cardboard Required =311600+15580

=327180cm

2

=

1000

327180

=327.18m

2

Cost of Cardboard for 1m

2

=Rs 20

Cost of cardboard for 327.18m

2

=20×327.18

=Rs 654.36

Hence, the cost of the cardboard for supplying 200 boxes of each kind is 654.36