Question

what is the surface area of this rectangular pyramid? 2 cm 2 cm 2 cm square centimeters submit

Explanation:

Step1: Calculate base area

The base is a square with side length 2 cm. Area of square: $A_{base} = s^2 = 2^2 = 4$ cm²

Step2: Calculate one triangular face area

Each triangular face has base 2 cm, height 2 cm. Area of triangle: $A_{face} = \frac{1}{2} \times b \times h = \frac{1}{2} \times 2 \times 2 = 2$ cm²

Step3: Calculate total face area

There are 4 identical triangular faces. $A_{total-faces} = 4 \times 2 = 8$ cm²

Step4: Sum base and face areas

Total surface area = base area + total face area. $A_{total} = 4 + 8 = 12$ cm²

Answer:

12