To find the surface area of the pyramid, we need to calculate the area of all its faces and add them together. This pyramid has a square base and four triangular sides.
Step 1: Find the area of the square base.
The base is a square with side lengths of 16 inches.
* Formula for area of a square: $\text{Side} \times \text{Side}$
* Calculation: $16 \times 16 = 256$ square inches.
Step 2: Find the area of one triangular face.
There are 4 identical triangles. Each triangle has a base of 16 inches and a height (slant height) of 20 inches.
* Formula for area of a triangle: $\frac{1}{2} \times \text{base} \times \text{height}$
* Calculation: $\frac{1}{2} \times 16 \times 20$
* First, half of 16 is 8.
* Then, $8 \times 20 = 160$ square inches.
Step 3: Find the total area of the four triangular faces.
Since there are 4 triangles, we multiply the area of one triangle by 4.
* Calculation: $160 \times 4 = 640$ square inches.
Step 4: Add the areas together.
Add the area of the base and the total area of the triangles to get the total surface area.
* Total Surface Area = Area of Base + Area of Triangles
* Calculation: $256 + 640 = 896$ square inches.
Final Answer:
896 in²
Parent Tip: Review the logic above to help your child master the concept of surface area nets worksheet.
