Answer:
Rs 8640.
Explanation:
Let the height of the room be x m.
Then, the breadth of the room = 2x m and the length of the room = 2×2x = 4x m.
The volume of the room is given by:
Volume = (Length × Breadth × Height)
Substituting the values, we get:
512 = (4x × 2x × x)
512 = 8x³


![\sf x =\sqrt[3]{64}](https://img.qammunity.org/2024/formulas/mathematics/high-school/h73xogyorjcpo2a35x0lbwoe8iuskgxkoc.png)
x = 4
Therefore, the height = 4 m, breadth = 8 m and length = 16 m.
The total area of the walls to be plastered is given by:
Area = Area of 4 wall + Area of ceiling+ Area of floor
Area = 2 × Height( Length+ Breath)
Area = 2 × 4 (8 + 16) +
Area = 8 × 24
Area = 192 m²
The cost of plastering the walls is given by:
Cost = (Area × Rate per square m)
Cost = 192 × 45
Cost = Rs 8640
Therefore, the cost of plastering the walls of the room is Rs 8640.