Question

20 ft.
9 ft. 16 ft.
which diagram is a net for this prism?

Explanation:

1. A rectangular prism has 6 faces: 2 congruent bases (with dimensions length × width) and 4 lateral faces (with dimensions height × length or height × width). For the given prism, the base dimensions are \( 9\,\text{ft} \times 16\,\text{ft} \), and the height is \( 20\,\text{ft} \).
2. The net of a rectangular prism should have 2 rectangles with the base dimensions (\( 9\,\text{ft} \times 16\,\text{ft} \)) and 4 rectangles with dimensions related to the height: two with \( 20\,\text{ft} \times 16\,\text{ft} \) (height × length) and two with \( 20\,\text{ft} \times 9\,\text{ft} \) (height × width).
3. Analyzing the second diagram:

• The central rectangle at the bottom is \( 9\,\text{ft} \times 16\,\text{ft} \) (a base).
• The rectangle above it is \( 20\,\text{ft} \times 16\,\text{ft} \) (lateral face: height × length).
• The two rectangles on either side of the central bottom rectangle are \( 20\,\text{ft} \times 9\,\text{ft} \) (lateral faces: height × width).
• The rectangle at the top (above the \( 9\,\text{ft} \times 16\,\text{ft} \) rectangle) is another \( 9\,\text{ft} \times 16\,\text{ft} \) (the other base).
• This matches the face dimensions and arrangement required for the net of the given rectangular prism. The first diagram has inconsistent face dimensions and arrangements (e.g., extra or mis - sized rectangles), so it does not represent the net correctly.

Answer:

The second diagram (the one with the central rectangle of 16 ft (length) and 9 ft (width) on top, a 20 ft (height) by 16 ft (length) rectangle below it, and two 20 ft (height) by 9 ft (width) rectangles on either side of the central 9 ft by 16 ft rectangle at the bottom) is the net for the prism.