Question content area top

Part 1
Use formulas to find the lateral area and surface area of the prism.
13 in.
12 in.
26 in.
Question content area bottom
Part 1
The lateral area of the prism is
  
enter your response here insquared.
​(Round to the nearest whole number as​ needed.)

To find the lateral area of a prism, you use the formula:

Lateral Area = perimeter of base x height

Given that the base of the prism is a rectangle with a width of 12 inches and a length of 26 inches, the perimeter of the base is:

Perimeter = 2(length + width)
Perimeter = 2(26 + 12)
Perimeter = 2(38)
Perimeter = 76 inches

Since the height of the prism is 13 inches, we can plug in these values into the formula:

Lateral Area = 76 inches x 13 inches
Lateral Area = 988 inches^2

Therefore, the lateral area of the prism is 988 inches^2.