Question

kamryn has a pyramid pictured below. the slant height of this square - based pyramid is 8 inches and the base is 10 inches on each side. what is the surface area of the pyramid?
options:
260 square inches
128 square inches
80 square inches
405 square inches

Explanation:

Step1: Calculate base area

Base is square: $10 \times 10 = 100$ sq inches.

Step2: Calculate one triangular face area

Area of triangle: $\frac{1}{2} \times 10 \times 8 = 40$ sq inches.

Step3: Total lateral face area

4 triangles: $4 \times 40 = 160$ sq inches.

Step4: Total surface area

Base + lateral: $100 + 160 = 260$ sq inches.

Answer:

A. 260 square inches