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Question

Hamidh as built a cubical water tank with Lid for his house with each outer edge 1.5
metre long, he gets the outer surface of the tank including the base covered with square
tiles of side 25cm. find how much he would spend for the tiles ,if the cost of the tiles is ?360 per dozen?

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Solution

Dear Student ,

The length of each edge of water tank ( a) = 1.5 m = 150 cm

Given, the base of water tank is not covered with tiles, So, five outer faces will be covered by squares tiles.

Therefore,

Surface area of water tank =
5a​​​​​2=5(150)2=112500 cm2

side of square tile = 25 cm

So, Area of each square tile
= (side)2 = 252 =625 cm2

Number of square tiles required =
(Area of water tank) / (Area of each square tile)

=112500/625 = 180

Now, Given, Cost of 1 dozen ( = 12 tiles) tiles = Rs 360
So,cost of 180 tiles = (360/12) × 180 = 5400

Hence, he will spend Rs 5400 for the tiles.

Regards!


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