What is the surface area of a rectangular prism with a length of 16 inches, a height of 4 inches, and a width of 8 inches?(1 point)
Responses
224 square inches
224 square inches
192 square inches
192 square inches
448 square inches
448 square inches
256 square inches
The surface area of a rectangular prism can be calculated by adding the areas of all six faces.
The area of one side (length x width) is 16 inches x 8 inches = 128 square inches. Since there are two sides with these dimensions, that is 128 square inches x 2 = 256 square inches.
The top and bottom have areas of 16 inches x 4 inches = 64 square inches each, totaling 64 square inches x 2 = 128 square inches.
The two remaining sides have areas of 8 inches x 4 inches = 32 square inches each, totaling 32 square inches x 2 = 64 square inches.
Adding these all together: 256 square inches (sides) + 128 square inches (top and bottom) + 64 square inches (remaining sides) = 448 square inches.
Therefore, the surface area of the rectangular prism is 448 square inches.