The cost of paint is Rs.36.50 per kg. If one kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having each side of 8 feet?
The cost of paint is Rs.36.50 per kg. If one kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having each side of 8 feet?
(A) Rs.850
(B) Rs.860
(C) Rs.876
(D) Rs.886
Solution: Let’s solve this problem in a relaxed way.
Step 1: Find the surface area of the cube:
The cube has 6 faces, and all faces are square with a length of 8 ft.
Surface area = 6 x (length of the sides)^2 = 6 ×(8)^2 = 6 × 64 = 384 sq ft.
Step 2: Find the paint needed:
1 kg of paint is needed for an area of 16 sq ft.
Therefore, paint needed = (Total area) / (Area per kg of paint) = 384/16 = 24 kg.
Step 3: Find the cost:
Cost = Paint needed x Cost per kg of paint = 24 × 36.50 = (36.50 × 20) + (36.50 × 4) (using the distributive law of multiplication over addition) = 730 + 146 = 876.