What is the surface area of the rectangular pyramid? 8mm 10mm 12mm 15mm (1 point)
To calculate the surface area of a rectangular pyramid, we need to first find the area of the base and then add the areas of the four triangular faces.
Given the dimensions of the rectangular pyramid:
Length (l) = 10 mm
Width (w) = 8 mm
Height (h) = 12 mm
1. Area of the base:
Area = length x width
Area = 10 mm x 8 mm
Area = 80 mm²
2. Area of each triangular face:
Area = 0.5 x base x height
Area = 0.5 x 10 mm x 12 mm
Area = 60 mm² (for each triangular face)
3. Total surface area:
Total Surface Area = Area of base + 4 x Area of triangular faces
Total Surface Area = 80 mm² + 4 x 60 mm²
Total Surface Area = 320 mm² + 240 mm²
Total Surface Area = 560 mm²
Therefore, the surface area of the rectangular pyramid is 560 mm².