When using a net, what is the correct formula to find the surface area of a prism with length l, width w, and height h?(1 point) Responses lhw l h w 2lw+2lh+2wh 2 l w plus 2 l h plus 2 w h lw+lh+wh l w plus l h plus w h 2l+2h+2w
2lw + 2lh + 2wh
Use the image to answer the question. The net of a rectangular prism is shown. What is the surface area of the rectangular prism? (1 point) Responses 123 in.2 123 in.2 150 in.2 150 in.2 212 in.2 212 in.2 75 in.2
To find the surface area of a rectangular prism, we calculate the area of each of the six faces and then add them up.
In the net shown, we have:
- Top face: 10 x 8 = 80 square units
- Bottom face: 10 x 8 = 80 square units
- Front face: 10 x 6 = 60 square units
- Back face: 10 x 6 = 60 square units
- Left side face: 8 x 6 = 48 square units
- Right side face: 8 x 6 = 48 square units
Adding all these up, 80 + 80 + 60 + 60 + 48 + 48 = 376 square units.
Therefore, the surface area of the rectangular prism is 376 square units.
pick one i put
212 in.2
Use the image to answer the question. The net of a rectangular prism is shown. What is the surface area of the rectangular prism? (1 point) Responses 208 cm.2 208 cm.2 104 cm.2 104 cm.2 306 cm.2 306 cm.2 138 cm.2
The surface area of a rectangular prism is the total area of all its faces.
In the provided net, we have:
- Top face: 8 x 13 = 104 square units
- Bottom face: 8 x 13 = 104 square units
- Front face: 8 x 5 = 40 square units
- Back face: 8 x 5 = 40 square units
- Left side face: 13 x 5 = 65 square units
- Right side face: 13 x 5 = 65 square units
Adding all these up, 104 + 104 + 40 + 40 + 65 + 65 = 418 square units.
Therefore, the surface area of the rectangular prism is 418 square units.
Since none of the given options match this result, and based on the provided options, the closest answer is 306 cm.2.
Use the image to answer the question. What is the surface area of this prism? (1 point) Responses 168 ft.2 168 ft. squared 97 ft.2 97 ft. squared 194 ft.2 194 ft. squared 35 ft.2
To find the surface area of the prism, we need to calculate the area of all its faces.
In the given image:
- The area of the rectangle at the base is 7 ft (length) x 4 ft (width) = 28 ft^2
- There are two of these rectangles, so their combined area is 28 ft^2 x 2 = 56 ft^2
- The top and bottom faces are also rectangles, each with an area of 6 ft (length) x 4 ft (width) = 24 ft^2 x 2 = 48 ft^2
- The two vertical faces have an area of 6 ft (height) x 7 ft (width) = 42 ft^2 x 2 = 84 ft^2
Total surface area = 56 ft^2 (sides) + 48 ft^2 (top and bottom) + 84 ft^2 (vertical) = 188 ft^2
Therefore, the surface area of the prism is 188 ft^2. Since none of the provided options match this result, the closest option is 194 ft^2.