Question

Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of
boxes were required. The dimensions are 20 cm × 15cm × 5 cm and 10 cm × 12 cm × 5 cm. which box has greater
area?

Answer 1

Step-by-step explanation:

ANSWER

Consider the problem

For bigger box

Given,

Length of bigger box =25cm

Breadth of the bigger box =20cm

Height of bigger box =5cm

So total surface area of bigger box =2(lb+lh+bh)

=[2(25×20+25×5+20×5)]cm

2

=[2(500+125+100)]cm

2

=1450cm

2

Extra area required is equal to 5 percent of surface area of bigger box

=

100

5

×1450

=72.5cm

2

Total area required for 1 bigger box

=Totalsurfacearea+Extraarearequired

=(1450+72.5)cm

2

=1522.5cm

2

And total area required for 250 box

=Areaof1box×250

=(1522.5×250)cm

2

=380625cm

2

For Smaller box

We have

Length of Smaller box =15cm

Breadth of the Smaller box =12cm

Height of Smaller box =5cm

So total surface area of Smaller box =2(lb+lh+bh)

=[2(15×12+15×5+12×5)]cm

2

=[2(180+75+60)]cm

2

=(2×315)cm

2

=630cm

2

Extra area required is equal to 5 percent of surface area of Smaller box

=

100

5

×630

=31.5cm

2

Total area required for 1 Smaller box =surfaceArea+ExtraArea

=(630+31.5)cm

2

=661.5cm

2

Area of cardboard sheet required for 250 such smaller boxes

=Totalarea×250

=(250×661.5)cm

2

=165375

Total cardboard sheet required

=Areaof250bigbox+Areaof250smallerbox

=(380625+165375)cm

2

=546000cm

2

Cost of 1000cm

2

cardboard sheet =Rs4

Cost of 1cm

2

cardboard sheet =Rs

1000

1

×4

Cost of 546000cm

2

card board sheet

=(

1000

546000×4

)

=Rs2184

Hence, the cost of card board sheet required for 250 such boxes of each kind will be Rs2184