10 cm
10.6 cm
12 cm
14 cm
What is the surface area of the rectangular pyramid?
___ cm2
To find the surface area of a rectangular pyramid, we need to calculate the area of each face and then add them together.
1. Base: The base of the rectangular pyramid is a rectangle with dimensions 10 cm by 14 cm. The area of the base is:
Area = length x width
Area = 10 cm x 14 cm
Area = 140 cm²
2. Four triangular faces: The triangular faces of the rectangular pyramid are all congruent to each other and have a base of 10 cm and a height of 10.6 cm. The area of one triangular face is:
Area = 0.5 x base x height
Area = 0.5 x 10 cm x 10.6 cm
Area = 53 cm²
Since there are four triangular faces, the total area of the four triangular faces is:
Total area of four triangular faces = 4 x 53 cm²
Total area of four triangular faces = 212 cm²
3. Finally, we add the area of the base and the total area of the four triangular faces to find the total surface area of the rectangular pyramid:
Total surface area = Area of base + Total area of four triangular faces
Total surface area = 140 cm² + 212 cm²
Total surface area = 352 cm²
Therefore, the surface area of the rectangular pyramid is 352 cm².