Marisa is decorating a rectangular prism with a height of 2 ft, width of 1 ft, and length of 3 ft. Each tile costs $0.79. How much will it cost Marisa to tile the outside of the whole prism?
let's assume tiles of 1ft square. That means there are
2(2*1+2*3+1*3) = 2(2+6+3) = 2*11 = 22 tiles
now just multiply that by the cost of a single tile.
If the tiles are smaller, then adjust the number accordingly
how big are the tiles?
To find the cost of tiling the outside of the whole prism, we need to find the surface area of the prism and then multiply it by the cost per tile.
Step 1: Find the surface area of the prism
The surface area of a rectangular prism can be calculated using the following formula:
Surface Area = 2*(Length*Width + Width*Height + Height*Length)
Given:
Length = 3 ft
Width = 1 ft
Height = 2 ft
Substituting the values into the formula:
Surface Area = 2*(3*1 + 1*2 + 2*3) = 2*(3 + 2 + 6) = 2*(11) = 22 ft^2
Step 2: Determine the cost of tiling the surface area
Each tile costs $0.79, and the surface area of the prism is 22 square feet. To find the total cost, multiply the cost per tile by the surface area.
Total Cost = Cost per tile * Surface Area
Total Cost = $0.79 * 22
Total Cost = $17.38
Therefore, it will cost Marisa $17.38 to tile the outside of the whole prism.