The net of a rectangular prism shows two rectangles each with measurements 15 inches by 12 inches, two other rectangles with measurements 12 inches by 6 inches, and two more rectangles with measurements 15 inches by 6 inches. What is the surface area of the rectangular prism this net creates in square inches? (1 point)

Question

Responses

342 in.2
342 in squared

324 in.2
324 in squared

684 in.2
684 in squared

1,080 in.2

Answer 1

The surface area of a rectangular prism can be calculated using the formula: 2lw + 2lh + 2wh, where l = length, w = width, and h = height.

Given the net dimensions:
- Two rectangles with measurements 15 inches by 12 inches: 2(15×12) = 360 in²
- Two rectangles with measurements 12 inches by 6 inches: 2(12×6) = 144 in²
- Two rectangles with measurements 15 inches by 6 inches: 2(15×6) = 180 in²

Adding these areas together:
360 + 144 + 180 = 684 in²

Therefore, the surface area of the rectangular prism created by this net is 684 square inches.

Answer: 684 in.²