Question

shanti sweets stall was placing an order for making card board boxes for packing their sweets . two sizes of boxes were required . the bigger of dimensions 25?20?5cm and the smaller of dimensions 15?12?5cm. for all the overlaps, 5%of the total surface area is required extra. if the cost of the cardboard is RS. 4 for 1000cm, find the cost of cardboard required for supplying 250boxes of each kind.

Answer 1

Dear Student,

The dimension of bigger box is 25×20×5.

the outer surface area =2(25×20+20×5+5×25)=1450 cm square

the area of extra sheet = 5% of 1450=$\frac{5}{100}\times 1450=72.5c{m}^2$

the total area of cardboard required for bigger box =1450+72.5=1522.5 cm square

the dimension of smaller box is 15×12×5.

the outer surface area =2(15×12+12×5+5×15)=630 cm square

the area of extra sheet = 5% of 630=$\frac{5}{100}\times 630=31.5c{m}^{2^{}}$

the total area of cardboard required for bigger box =630+31.5=661.5 cm square

for 250 boxes of each kind required cardboard = $250\times \left(1522.5+661.5\right)=250\times 2184=546000c{m}^2$

cost of the card board=$546000\times \frac{4}{1000}=546\times 4=Rs2184$

Regards,