A closed cuboid water tank is made of steel sheet that is $2.5 c m$ thick. The outer dimensions of the tank are $2.15 m,$ $1.5 m$ and $1.1 m .$ Find the total surface of the cuboidal tank.

14.48

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16.36

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13.86

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15.12

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Solution

The correct option is A 14.48
External dimensions of cuboidal tank are $l = 2.15 m = 215 c m, b = 1.5 m = 150 c m, h = 1.1 m = 110 c m$
The thickness of the steel sheet $= 2.5 c m$
Internal dimensions of the tank are: length $= 215 - 5 = 210 c m$ [ $∵$ thickness from both sides $= 2 \times 2.5 = 5 c m$ ]
breadth $= 150 - 5 = 145 c m$ , height $= 110 - 5 = 105 c m$
Total surface area of the tank $= 2 (l b + b h + l h)$ [Taking external dimensions]
$= 2 (2.15 \times 1.5 + 1.5 \times 1.1 + 2.15 \times 1.1) m^{3}$
$= 2 (3.225 + 1.65 + 2.365) m^{3}$
$= 14.48 m^{3}$

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A closed cuboid water tank is made of steel sheet that is 2.5 cm thick. The outer dimensions of the tank are 2.15 m, 1.5 m and 1.1 m. Find the total surface of the cuboidal tank.

A closed cuboid water tank is made of steel sheet that is $2.5 c m$ thick. The outer dimensions of the tank are $2.15 m,$ $1.5 m$ and $1.1 m .$ Find the total surface of the cuboidal tank.