Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5m. He gets the outer surface of the tank including the base, covered with square tiles of side 25cm. Find how much he would spend on tiles if the cost of tile is Rs 480 per dozen?
A cube is a three-dimensional object that has 6 congruent square faces.
Answer: To get a cubical water tank built for his house with each outer edge equal to 1.5m and to get the outer surface of the tank including the base, covered with square tiles of side 25cm, Aditya spends Rs 7200.
Let's find how much Aditya would spend on tiles.
Given: The outer edge of the tank = 1.5m = 150cm (since 1m = 100cm)
Area of a square = Side2
Since, 5 faces of the tank needs to be tiled as the top face will be the lid (no tiling)
Thus, Surface area of the tank = 5 × side2
Surface area of the tank = 5 x 1502 (since side of the tank = 150cm)
Area of each title = 252 (since side of the tile = 25cm)
Therefore, number of titles required = Surface area of the tank / Area of each title
= (5 × 150 × 150) / (25 × 25)
Hence, 180 tiles are required
1 dozen = 12 units
Thus, cost of 12 tiles = Rs 480
Cost of 1 tile = 480/12 = Rs 40
Therefore, the cost of 180 tiles = Rs 180 × 40 = Rs 7200