The lateral area of the rectangular prism is 140 inch²
Explanation
Formula for finding the Lateral area of rectangular prism is.......
[tex]L= (2l+2w)h[/tex] , where [tex]l =[/tex] length of the base, [tex]w=[/tex] width of the base and [tex]h=[/tex] height of the prism.
Given that, dimensions of the base is 8 inch by 6 inch and height is 5 inch. That means......
[tex]l=8, w=6[/tex] and [tex]h=5[/tex]
Plugging these values into the above formula........
[tex]L=[(2*8)+(2*6)]*5\\ \\ L=(16+12)*5\\ \\ L=28*5=140[/tex]
So, the lateral area of the rectangular prism is 140 inch²
The lateral area of the rectangular prism with the given height, width and length is 140in²
A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.
The lateral area a retangular prism is expressed as;
L.S.A =2 ( l + w ) h square units
Given the data in the question;
To determine the lateral area of the rectangular prism, we substitute our given values into the expression above.
L.S.A = 2 ( l + w ) h
L.S.A = 2 ( 8in + 6in ) 5in
L.S.A = 2 ( 14in ) 5in
L.S.A = 2 × 70in²
L.S.A = 140in²
Therefore, the lateral area of the rectangular prism with the given height, width and length is 140in²
Learn more about retangular prism here: brainly.com/question/21308574
