Find the lateral area of the pyramid to the nearest whole unit.

Question

22 m
8 m
8 m
drawing not to scale
(1 point)
• 176 m2
• 352 m2
• 704 m?
• 416 m?

Answer 1

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

Lateral Area = 1/2 * Perimeter of Base * Slant Height

The perimeter of the base of the pyramid is the sum of all the sides of the base. In this case, since it is a square base, the perimeter is 4 * 8 = 32 m.

The slant height is the height of one of the triangular faces. We can calculate it using the Pythagorean theorem: slant height = √(8^2 + 22^2) = √(64 + 484) = √548 ≈ 23.41 m.

Now we can plug these values into the formula:

Lateral Area = 1/2 * 32 * 23.41 ≈ 375.4 m2

Rounded to the nearest whole unit, the lateral area of the pyramid is approximately 375 m2.

So, the closest option provided is 352 m2.