The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work\

1 answer

To find the cost of covering the bench in ceramic tiles, we first need to calculate the total surface area of the bench that needs to be covered in tiles.

Let's assume the bench is a rectangular prism with the following dimensions:
- Length = 5 feet
- Width = 2 feet
- Height = 3 feet

The total surface area of the rectangular prism can be calculated as follows:
Total Surface Area = 2(l*w + l*h + w*h)
Total Surface Area = 2(5*2 + 5*3 + 2*3)
Total Surface Area = 2(10 + 15 + 6)
Total Surface Area = 2(31)
Total Surface Area = 62 square feet

Since we are covering only the sides and the top of the bench with ceramic tiles, we don't need to include the bottom in the calculation.

The cost of the tiles is $0.89 per square foot, so the total cost of covering the bench in ceramic tiles can be calculated as follows:
Total Cost = Cost per square foot x Total surface area
Total Cost = $0.89/sq ft x 62 sq ft
Total Cost = $55.18

Therefore, it will cost $55.18 to cover the bench in ceramic tiles.