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The dimensions of an oil tin are $26 cm × 26 cm × 45 cm$ . If 1 square meter of the tin sheet costs Rs.10, find the cost of tin sheet used for making 20 such tins.

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Rs.110.84

Rs.150.43

Rs.180.58

Rs.120.64

answer is D.

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Detailed Solution

It is given an oil tin of dimensions

26 cm × 26 cm × 45 cm

.
The surface area of a cuboid having a length l ,breadth b and height h is

2 (l b + b h + h l)

⇒ l = 26 c m

⇒ b = 26 c m

⇒ h = 45 c m

Let the surface area of the cuboid be

S

.
Then we can write the formula of the surface area of cuboid as

S = 2 (l b + b h + h l)

.
Substitute the values of l,b,h in equation

S = 2 (l b + b h + h l)

⇒ S = 2 (26 × 26) + (26 × 45) + (45 × 26)

⇒ S = 2 676 + 1170 + 1170

⇒ S = 2 × 3016

⇒ S = 6032 c m 2

Thus, the surface area of one oil tin is 6032

c m 2

.
The surface area of 20 oil tins =

(20 × 6032) c m 2

⇒

The surface area of 20 oil tins

= 120640 c m 2

Since,

1 c m 2 = 110000 m 2

⇒ 120640 c m 2 = 120640 × 110000 m 2

⇒ 120640 c m 2 = 120641000 m 2

Convert fraction into a decimal by placing decimal at the third place from the right.

⇒ 120640 c m 2 = 12.064 m 2

So, the total surface area of 20 oil tins is

12.064 m 2

.
Since, the cost of 1sq.m tin sheet

= R s 10

Cost of

12.064 m 2

tin sheet = Rs (12.064

×

10)

⇒

Cost of

12.064 m 2

tin sheet =

R s 120.64

.
Therefore, the cost of

12.064 m 2

tin sheet is

R s 120.64

.
Hence option (4) is correct.

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