Respuesta :
Answer:
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
The lateral surface area of the rectangular prism when length 8, width 6, height 3 is [tex]84\ cm^2[/tex].
Calculation of the lateral surface area:
Since the length is 8, width is 6 and height is 3.
So, here the lateral surface area should be
[tex]= 2\times width\times height + 2\times length\times height\\\\= 2\times 6\times 3 + 2\times 8\times 3[/tex]
= 36 + 48
= [tex]84\ cm ^2[/tex]
hence, The lateral surface area of the rectangular prism when length 8, width 6, height 3 is [tex]84\ cm^2[/tex].
Learn more about area here: https://brainly.com/question/10710386
