Find the lateral area for the given prism
6 ft 20 ft
1. 180 ft2
2.720 ft2
3. 433 ft2
4.135 ft2
explain why
It is impossible to determine the lateral area of the prism with just two measurements (6 ft and 20 ft). We also need the height of the prism to calculate the lateral area using the formula LA = ph, where p is the perimeter of the base and h is the height of the prism. Therefore, the answer cannot be determined without additional information.
To find the lateral area of a prism, we need to calculate the sum of the areas of all the lateral faces.
In this case, the given prism has a height of 6 ft and a base that measures 20 ft.
The lateral faces of a prism are the sides that are not the top or the bottom. For a rectangular prism like this one, the lateral faces are the four sides.
The formula to find the area of one lateral face of a rectangular prism is: area = height × width.
In this case, the width of each face is the same as the base, which is 20 ft. So we just need to multiply the height, which is 6 ft, by 20 ft to find the area of one lateral face.
Area of one lateral face = 6 ft × 20 ft = 120 ft^2
Since there are four lateral faces, we multiply the area of one face by 4 to find the total lateral area.
Total lateral area = 120 ft^2 × 4 = 480 ft^2
Therefore, the correct answer is 480 ft^2, which is not one of the given options.