surface area formula for room measurements 23ft 6in length, width 14ft 8in and height 30 feet
5-2=
The floor area would be 23.5 feet times 14.67 feet. (same for the ceiling).
Use similar process for walls and add them all together.
5 - 2 = 3
To calculate the surface area of a room, you need to find the area of each of the six individual walls and then add them together. Here's how you can calculate the surface area of a room with measurements of 23ft 6in length, 14ft 8in width, and 30ft height:
1. Convert the measurements into a single unit to simplify calculations. Let's convert everything to inches.
Length: 23ft 6in = (23 * 12) + 6 = 282 inches
Width: 14ft 8in = (14 * 12) + 8 = 176 inches
Height: 30ft = 30 * 12 = 360 inches
2. Calculate the area of each wall:
Top and bottom walls: The area of the top and bottom walls is equal to the length multiplied by the width.
Area = Length × Width
Top and bottom area = 282 inches × 176 inches = 49,632 square inches
Side walls: The area of the side walls is equal to the length multiplied by the height (since height is the vertical dimension).
Area = Length × Height
Side wall area = 282 inches × 360 inches = 101,520 square inches
Front and back walls: The area of the front and back walls is equal to the width multiplied by the height (since height is the vertical dimension).
Area = Width × Height
Front and back area = 176 inches × 360 inches = 63,360 square inches
3. Calculate the total surface area by adding up the areas of all six walls:
Total surface area = 2 × (Top and bottom area) + 2 × (Side wall area) + 2 × (Front and back area)
Total surface area = 2 × (49,632 square inches) + 2 × (101,520 square inches) + 2 × (63,360 square inches)
Total surface area = 99,264 square inches + 203,040 square inches + 126,720 square inches
Total surface area = 429,024 square inches
So, the surface area of the room with measurements of 23ft 6in length, 14ft 8in width, and 30ft height is 429,024 square inches.