Question

A.company sells biscuits. For packing purpose they are using cuboidal boxes:box A:-3cm*8cm*20cm, box B:-4cm*12cm*10cm.What size of the box will be economical for the company?Why?Can you suggest any other size (dimensions) which has the same volume but if more economical than these?

Answer 1

Box  B is prefer because it has less  total surface area  from box A and both box have same capacity. The manufacturing cost of box A is more than the box B .So box A is not prefer.  

Step-by-step explanation:

 volume of biscuits  box is =$l\times b\times h$

for box A

                = $3\times 8\times 20$

               =$480$ cubic centimeter

total surface area of biscuits box is=     $2\left ( l\times b+b\times h+h\times l \right )$

=$2\left ( 3\times 8+8\times 20+20\times 3 \right )$

=$2\times 244$

=$488$ centimeter square

for box B

volume

=$4\times 12\times 10$

=$480$ cubic centimeter

total surface area

=$2\left ( 4\times 12+12\times 10+10\times 4 \right )$

=$2\left ( 48+120+40 \right )$

=$2\times 208$

=$416$ centimeter square

difference in total surface area of box is

area of box A -area of box B

= $488-416=72$ centimeter square