Question

Apply the technique of using nets. What is the surface of the rectangular prism whose dimensions measure 7 inches by 3 inches by 11 inches? (1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a rectangular prism, we need to calculate the area of each face and then add them up.

The net of a rectangular prism consists of 6 faces: 2 rectangles with dimensions 7 inches by 3 inches, 2 rectangles with dimensions 7 inches by 11 inches, and 2 rectangles with dimensions 3 inches by 11 inches.

Calculating the area of each face:
1. Face with dimensions 7 inches by 3 inches: area = 7 inches x 3 inches = 21 square inches
2. Face with dimensions 7 inches by 11 inches: area = 7 inches x 11 inches = 77 square inches
3. Face with dimensions 3 inches by 11 inches: area = 3 inches x 11 inches = 33 square inches

Adding up the areas of all 6 faces:
21 + 21 + 77 + 77 + 33 + 33 = 262 square inches

Therefore, the surface area of the rectangular prism is 262 square inches.