Question
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
Responses
224 square inches
224 square inches
192 square inches
192 square inches
448 square inches
448 square inches
256 square inches
Answers
GPT 3.5
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.
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.