For his home, Hameed constructed a cubic water tank with a top that has edges that are each 1.5 meters long. He receives square tiles with a 25 cm side that are covered on the tank's outside, excluding the base.

How much would he spend on the tiles if the cost of tiles is Rs. 360 per dozen?

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answer is B.

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Detailed Solution

Given-
The edge (a) of the cubical tank= 1.5 m.
Side (

a 1

) of a square tile= 25 cm.
Area of the tile

= a 12

Cost of tiles per dozen= Rs. 360.
To find the money Hameed will spend on tiles.
First, we will convert the units into cm.
Since, 1 m = 100 cm.
Edge (a) of the cubical cube

= (1.5 × 100) c m = 150 c m

Now, we will find the surface area of the tank
Surface area of the tank (excluding the base) = 5a². ⟹SA = 5 (150)²

⇒ S A = 5 × 150 × 150

⟹SA = 112500 cm²
Now to find the area of the tile
Area of the tile with side

a 1

is,

A = a 12

⟹A= (25)² cm²
⟹A= 625 cm²
To find the number of tiles required we will divide the surface area of the tank by area of the tile then,
The number of tiles required is given by,