The lateral area of a cylinder is given by the formula: Lateral Area = height x circumference
First, we need to find the circumference of the cylinder. The diameter of the cylinder is given as 12 inches, so the radius is half of that, or 6 inches. The formula for the circumference of a circle is C = 2πr, where π is pi (approximately 3.14). Substituting in the values, we get:
Circumference = 2π(6) = 12π inches
Next, we can use the formula for lateral area to find the answer:
Lateral Area = height x circumference
Lateral Area = 6 x 12π
Lateral Area ≈ 113.1 square inches (rounded to the nearest square inch)
Therefore, the lateral area of the cylinder is approximately 113 square inches.