## Shanti Sweets Stall was placing an order for making cardboard boxes for packing their sweets. Two sizes of boxes were required. The di

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?

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2 weeks 2021-09-07T05:51:59+00:00 2 Answers 0 views 0

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2. Step-by-step explanation:

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