Find the lateral area of a rectangular prism if the base edges are 10 inches and 6 inches and
whose height is 5 inches
4. Find the volume and total area of rectangular prism whose base is 5 inches x 9 inches x 12 inches.
To find the lateral area of a rectangular prism, you need to calculate the sum of the areas of all the faces excluding the bases.
In this case, the base edges are 10 inches and 6 inches, and the height is 5 inches.
The lateral faces of a rectangular prism are always rectangular and have the same height as the prism. Therefore, the lateral faces' dimensions will be 10 inches and 5 inches (length and height), and there will be two such faces.
To find the area of one lateral face, you multiply the length by the height:
Area of one lateral face = 10 inches * 5 inches = 50 square inches.
Since there are two identical lateral faces, you multiply the area by 2 to find the total lateral area:
Total lateral area = 50 square inches * 2 = 100 square inches.
Therefore, the lateral area of the rectangular prism is 100 square inches.
end area: 2 ends, 6x5
two sides: 10x5
top, bottom: 10x6
add them up.