john is preparing to paper the walls of his room, which has the shape of a rectangular prism. The width is 14 feet, the length is 13 feet, and the height is 8 feet. What is the total surface area of the walls of his room?
A = 2(14 * 8) + 2(13 * 8)
400
To find the total surface area of the walls of John's room, we need to calculate the area of each individual wall and then add them together.
First, let's identify the six walls of the rectangular prism:
1. Front wall
2. Back wall
3. Left wall
4. Right wall
5. Top wall
6. Bottom wall
To calculate the surface area of each wall, use the formula:
Surface Area = Length x Width
Now let's calculate the surface area of each wall:
1. Front wall: Surface Area = Length x Height = 13 ft x 8 ft = 104 square feet
2. Back wall: Surface Area = Length x Height = 13 ft x 8 ft = 104 square feet
3. Left wall: Surface Area = Width x Height = 14 ft x 8 ft = 112 square feet
4. Right wall: Surface Area = Width x Height = 14 ft x 8 ft = 112 square feet
5. Top wall: Surface Area = Length x Width = 13 ft x 14 ft = 182 square feet
6. Bottom wall: Surface Area = Length x Width = 13 ft x 14 ft = 182 square feet
Now, add up all the surface areas of the individual walls:
104 + 104 + 112 + 112 + 182 + 182 = 796 square feet
Therefore, the total surface area of the walls of John's room is 796 square feet.