Question

There are two sweet boxes of dimensions 25 cm × 20 cm × 5 cm and 15 cm × 12cm × 5 cm.What is the cost of producing 250 boxes of each type given that the cost is rupees 4 per 1000 cm². it is also given that 5% extra area is required for overlaps.​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Total S.A of bigger box  

=2(lb+bh+lh)

=2(25×20+25×5+20×5) cm  

2

=2(500+125+100)

=1450 cm  

2

⇒For overlapping extra area required =  

100

450×5

=72.5 cm  

2

∴ Total S.A (including overlaps)

=1450+72.5=1522.5 cm  

2

Area of cardboard sheet for 250 such boxes

=(1522.5×250) cm  

2

Total S.A of smaller box  

=2(15×12+15×5+12×5)cm  

2

=630 cm  

2

For overlapping area required =  

100

630×5

=31.5 cm  

2

Total S.A (including overlaps)=630+31.5=661.5 cm  

2

Area of cardboard sheet required for 250 such boxes

=250×661.5cm  

2

=165375 cm  

2

Total cardboard sheet required =380625+165375

=54000 cm  

2

⇒Cost of 1000 cm  

2

cardboard sheet = Rs.4

⇒Cost of 546000 cm  

2

cardboard sheet  

= Rs.  

1000

546000×4

= Rs. 2184