Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m. 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: Aditya will have to spend Rs 7200.
Let's find how much Aditya would spend on tiles.
Given: The outer edge of the tank = 1.5 m = 150 cm (since 1m = 100cm)
Area of a square = Side2
Since 5 faces of the tank need 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 × 1502 (since side of the tank = 150 cm)
Area of each title = 252 (since side of the tile = 25 cm)
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 = 180 × 40 = Rs 7200
Thus, Aditya spends Rs 7200 to get a cubical water tank built for his house.