Use formulas to find the lateral area and surface area of the prism.

17 in.
15 in.
30 in.
Question content area bottom
Part 1
The lateral area of the prism is
  
enter your response here in squared.
​(Round to the nearest whole number as​ needed.)

1 answer

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

Lateral Area = perimeter of base x height

First, find the perimeter of the base of the prism. Since the base of the prism is a rectangle, the perimeter is given by:

Perimeter = 2(length + width)

Perimeter = 2(17 + 15) = 2(32) = 64 inches

Next, multiply the perimeter of the base by the height of the prism to find the lateral area:

Lateral Area = 64 inches x 30 inches = 1920 square inches

Therefore, the lateral area of the prism is 1920 square inches.
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