Question

a square pyramid has side lengths each measuring 8 centimeters. the height of the pyramid is 3 centimeters. what is the lateral area of the pyramid? 20 square centimeters 64 square centimeters 80 square centimeters 84 square centimeters

Explanation:

Step1: Find base half-length

$\frac{8}{2}=4$ cm

Step2: Calculate slant height

Use Pythagorean theorem:
$$l=\sqrt{3^2 + 4^2}=\sqrt{9+16}=\sqrt{25}=5$$ cm

Step3: Area of one triangular face

$\frac{1}{2} \times 8 \times 5=20$ cm²

Step4: Total lateral area

$4 \times 20=80$ cm²

Answer:

80 square centimeters