The cost of the paint is 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side?
- 692
- 768
- 876
- 972
The Correct Option is C
Solution and Explanation
To determine the cost of painting the outside of a cube with each side measuring 8 feet, follow these steps:
- Calculate the surface area of the cube. The formula for the surface area of a cube with side length s is 6s2. Here, s=8 feet.
Surface Area = 6 × 82 = 6 × 64 = 384 square feet.
- Determine how much paint is needed. Since 1 kg of paint covers 16 square feet, the paint required is 384 ÷ 16.
Paint Required = 24 kg.
- Calculate the total cost of the paint. The cost per kg is 36.50, so the total cost is 24 × 36.50.
Total Cost = 876.
Therefore, it will cost 876 to paint the outside of the cube.
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