Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. Use the large 19 x 6 m rectangles on the top and bottom as the bases.
A rectangular prism is shown. The height is 2 meters, the width is 6 meters, and the length is 19 meters.
(1 point)
Responses
100 m2; 328 m2
100 m 2 ; 328 m 2
304 m2; 214 m2
304 m 2 ; 214 m 2
100 m2; 214 m2
100 m 2 ; 214 m 2
304 m2; 328 m2
304 m 2 ; 328 m 2
To find the lateral area of the prism, we need to find the area of all four sides excluding the bases.
The formula for the lateral area of a rectangular prism is: Lateral Area = 2 * height * (width + length)
Lateral Area = 2 * 2 * (6 + 19)
Lateral Area = 2 * 2 * 25
Lateral Area = 100 m2
To find the surface area of the prism, we need to add the areas of the bases to the lateral area.
The formula for the surface area of a rectangular prism is: Surface Area = Lateral Area + 2 * (base area)
The base of the prism is a rectangle with dimensions 19m by 6m, so the base area is 19 * 6 = 114 m2.
Surface Area = 100 + 2 * 114
Surface Area = 100 + 228
Surface Area = 328 m2
Therefore, the correct answer is:
100 m2; 328 m2