Math, asked by PrathameshRajput, 3 months ago

A closed box is a cuboid in shape with
length = 40 cm, breadth = 30 cm and
height = 50 cm. It is made of thin metal
sheet. Find the cost of metal sheets required
to make 20 such boxes, if 1 m2 of metal sheet
costs 45.​

Answers

Answered by khannas918
12

Step-by-step explanation:

l=40 cm, b=30 cm, h=50 cm

Surface area of 1 block = 2[lb+bh+lh]

            = 2[40*30+30*50+50*40]

            = 2[1200+1500+2000]

            = 2[4700]

            = 9400 cm^2

SA of 20 blocks = 20*9400 = 188000 cm^2 = 18.8 m^2

Cost = 18.8*45 = 846

Hope it helps

Mark it as the brainliest

Answered by tennetiraj86
3

Answer:

\huge{\boxed{\rm{\red{Answer=Rs. 846}}}}

Step-by-step explanation:

Given:-

A closed box is a cuboid in shape with

A closed box is a cuboid in shape withlength = 40 cm, breadth = 30 cm and

A closed box is a cuboid in shape withlength = 40 cm, breadth = 30 cm andheight = 50 cm. It is made of thin metal

A closed box is a cuboid in shape withlength = 40 cm, breadth = 30 cm andheight = 50 cm. It is made of thin metalsheet.

To find:-

Find the cost of metal sheets required

Find the cost of metal sheets requiredto make 20 such boxes, if 1 m2 of metal sheet

Find the cost of metal sheets requiredto make 20 such boxes, if 1 m2 of metal sheetcosts 45.

Solution:-

Dimensions of the given cuboid are

Length=40cm

Breadth=30cm

Height =50 cm

To make a cuboid with metal sheet we use it for all dimensions

so thae area of the metal sheet required is

The total area of the cuboid

=2(lb+bh+hl) sq units

=>2[(40×30)+(30×50)+(50×40)] sq.cm

=>2(1200+1500+2000)sq.cm

=>2(4700) sq.cm

=>9400 sq.cm

Total surface area of one cuboid =9400 sq.cm

Total area of such 20 cuboids=9400×20

=>188000 sqcm

we know that 10000 sqcm=1 sq.m.

=>188000sq.cm=188000/10000=18.8 sq.m

The cost for making cuboid per 1 =Rs.45

Total cost for making 20 cuboids of 18.8 =

=18.8×45

=Rs.846

Answer:-

The total cost of metal sheets required

cost of metal sheets requiredto make 20 such boxes, if 1 of metal sheet

of metal sheet costs 45 is Rs.846

Used formulae:-

Total surface area of a cuboid

=2(lb+bh+hl) sq.units

1m²=10000 cm²

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