· Raheel designs two gift boxes for a department store of the following dimensions: Box A: (12 X 7 X 4) cm3 Box B: (10 x 8 x 6 cm3 The store says that they want the box with the greater volume. Which box will they choose
Answers
For bigger box:
For bigger box:Length of the bigger box 20 cm
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cm
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cm
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cmSo, Total Surface Area of bigger box =2(lb+bh+hl)
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cmSo, Total Surface Area of bigger box =2(lb+bh+hl) =2(20×15+15×5+5×20)
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cmSo, Total Surface Area of bigger box =2(lb+bh+hl) =2(20×15+15×5+5×20) =2(300+75+100)
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cmSo, Total Surface Area of bigger box =2(lb+bh+hl) =2(20×15+15×5+5×20) =2(300+75+100) =2(475)
For bigger box:Length of the bigger box 20 cmBreadth of the bigger box =15 cmHeight of thr bigger box =5 cmSo, Total Surface Area of bigger box =2(lb+bh+hl) =2(20×15+15×5+5×20) =2(300+75+100) =2(475) =950 cm2
For Smaller box:
For Smaller box:Length of the smaller box =16 cm
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cm
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cm
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl)
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl) =2(16×12+12×4+4×16)
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl) =2(16×12+12×4+4×16) =2(192+48+64)
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl) =2(16×12+12×4+4×16) =2(192+48+64) =2(304)
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl) =2(16×12+12×4+4×16) =2(192+48+64) =2(304) =608 cm2
For Smaller box:Length of the smaller box =16 cmBreadth of the smaller box =12 cmHeight of the smaller box =4 cmSo, Total Surface Area of smaller box =2(lb+bh+hl) =2(16×12+12×4+4×16) =2(192+48+64) =2(304) =608 cm2Total surface area of 200 boxes of
each type =200(950+608)
each type =200(950+608) =200×1558
each type =200(950+608) =200×1558 =311600 cm2
each type =200(950+608) =200×1558 =311600 cm2Extra Area Required =5% of 200(950+608)
each type =200(950+608) =200×1558 =311600 cm2Extra Area Required =5% of 200(950+608) =1005×1558×200
each type =200(950+608) =200×1558 =311600 cm2Extra Area Required =5% of 200(950+608) =1005×1558×200 =15580 cm2
each type =200(950+608) =200×1558 =311600 cm2Extra Area Required =5% of 200(950+608) =1005×1558×200 =15580 cm2So, Total cardboard Required =311600+15580
each type =200(950+608) =200×1558 =311600 cm2Extra Area Required =5% of 200(950+608) =1005×1558×200 =15580 cm2So, Total cardboard Required =311600+15580 =327180 cm2
=32.718 m2
=32.718 m2Cost of Cardboard for 1m2=Rs. 20
=32.718 m2Cost of Cardboard for 1m2=Rs. 20Cost of cardboard for 32.718 m2=20×32.718
=32.718 m2Cost of Cardboard for 1m2=Rs. 20Cost of cardboard for 32.718 m2=20×32.718 =Rs. 65.436
=32.718 m2Cost of Cardboard for 1m2=Rs. 20Cost of cardboard for 32.718 m2=20×32.718 =Rs. 65.436Hence, the cost of the cardboard for supplying 200 boxes of each kind is Rs. 65.436.