A sweet seller stall was placing an order for making cardboard boxes for packing the sweets. Two different shapes of boxes were required. One box of dimension 25 cm x 20 cm x 5 cm and the other box of height 23 cm and radius 7 cm. If the cost of the card board is Rs.8 for 1000 cm2, find the cost of cardboard required for supplying 100 cuboidal and 200 cylindrical boxes.
Answers
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
here is your answer :-
Rupees 2184 hope it helps you please mark my answer as brainliest.