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.

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

1 answer

To find the lateral area of a rectangular prism, you use the formula: Lateral Area = 2h(w + l), where h is the height, w is the width, and l is the length.

Plugging in the values:
Lateral Area = 2(2)(6 + 19)
Lateral Area = 2(2)(25)
Lateral Area = 100 m2

To find the surface area of a rectangular prism, you use the formula: Surface Area = 2lw + 2lh + 2wh.

Plugging in the values:
Surface Area = 2(19)(6) + 2(19)(2) + 2(6)(2)
Surface Area = 228 + 76 + 24
Surface Area = 328 m2

Therefore, the correct answer is: 100 m2; 328 m2.