What is the area of a rectangular prism with dimensions length = 10 mm, width = 8 mm, and height = 2 mm?
To find the area of a rectangular prism, you need to calculate the total amount of surface area. A rectangular prism has six faces: the top and bottom faces are rectangles with dimensions length and width, and the remaining four faces are rectangles with dimensions width and height, length and height, length and height, and width and height.
Step 1: Calculate the area of the top and bottom faces:
- Area = length * width
- Area = 10 mm * 8 mm
- Area = 80 mm²
Step 2: Calculate the area of the remaining four faces:
- Area = width * height
- Area = 8 mm * 2 mm
- Area = 16 mm²
Step 3: Add up the areas of all six faces:
- Total Surface Area = 2 (area of top and bottom faces) + 4 (area of remaining faces)
- Total Surface Area = 2 * 80 mm² + 4 * 16 mm²
- Total Surface Area = 160 mm² + 64 mm²
- Total Surface Area = 224 mm²
Therefore, the area of the given rectangular prism is 224 mm².
To find the area of a rectangular prism, you need to determine the total surface area. The surface area of a rectangular prism consists of the area of all six faces.
To calculate the area of each face, use the formula for the area of a rectangle: Area = length x width.
For the given dimensions, we have:
- Area of the top and bottom faces = length x width = 10 mm x 8 mm = 80 mm² each.
- Area of the side faces (there are four sides) = length x height = 10 mm x 2 mm = 20 mm² each.
To find the total surface area, sum up the area of all six faces:
Total Surface Area = 2(top and bottom faces) + 4(side faces)
Total Surface Area = 2(80 mm²) + 4(20 mm²)
Total Surface Area = 160 mm² + 80 mm²
Total Surface Area = 240 mm².
Therefore, the total surface area of the rectangular prism is 240 mm².