To find the surface area of a rectangular pyramid, you need to find the area of the base and the areas of the four triangular faces.
1. Area of the base:
The base of a rectangular pyramid is a rectangle, so the area is calculated by multiplying the length and width.
Area of base = 10 cm * 14 cm = 140 cm²
2. Areas of the triangular faces:
To find the areas of the triangular faces, you need to calculate the area of each triangular face separately.
You can use the formula for the area of a triangle: A = 1/2 * base * height
a) Triangle 1:
Base = 10 cm, Height = 12 cm
Area = 1/2 * 10 cm * 12 cm = 60 cm²
b) Triangle 2:
Base = 14 cm, Height = 12 cm
Area = 1/2 * 14 cm * 12 cm = 84 cm²
c) Triangle 3:
Base = 10.6 cm, Height = 10 cm
Area = 1/2 * 10.6 cm * 10 cm = 53 cm²
d) Triangle 4:
Base = 10.6 cm, Height = 14 cm
Area = 1/2 * 10.6 cm * 14 cm = 74.2 cm²
3. Total surface area:
The total surface area of a rectangular pyramid is the sum of the area of the base and the areas of the four triangular faces.
Total surface area = Area of base + Area of triangle 1 + Area of triangle 2 + Area of triangle 3 + Area of triangle 4
Total surface area = 140 cm² + 60 cm² + 84 cm² + 53 cm² + 74.2 cm²
Total surface area = 411.2 cm²
Therefore, the surface area of the rectangular pyramid with dimensions 10 cm, 14 cm, 12 cm, and 10.6 cm is 411.2 cm².
What is the surface area of a rectangular pyramid with 10 cm. 14 cm, 12 cm, and 10.6 cm? I would heavily appreciate the answer!
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