Find the lateral surface area of the rectangular prism in centimeters.

length 8, width 6, height 3

A) 64 cm2

B) 72cm2

C) 84cm2

D) 96 cm2

The lateral surface area is 84 cm^2

Step-by-step explanation:

The rectangular prism is a geometric figure that has rectangles at each of it's faces. The lateral surface is formed by four rectangles, the ones formed by the length and the height and the ones formed by the width and the height. So in order to calculate the area of this surface we need to calculate the area of these rectangles and sum it. We have:

A_lateral = 2*width*height + 2*length*height

A_lateral = 2*6*3 + 2*8*3 = 36 + 48 = 84 cm ^2

So the lateral surface area is 84 cm^2