What is the surface area of the rectangular pyramid? 15mm 12mm 8mm 10mm
(1 point)
The surface area of a rectangular pyramid is given by the formula:
Surface Area = base area + 1/2 * perimeter of base * slant height
To calculate the surface area of the rectangular pyramid with dimensions 15mm, 12mm, 8mm, and 10mm, we first need to find the base area and the slant height.
Base area = 15mm * 12mm = 180mm^2
Perimeter of base = 2 * (15mm + 12mm) = 54mm
Slant height = √(8mm^2 + 10mm^2) = √(64mm + 100mm) = √164mm
Now, we can calculate the surface area:
Surface Area = 180mm^2 + 1/2 * 54mm * √164mm ≈ 180mm^2 + 27mm * √164mm ≈ 397.37mm^2
Therefore, the surface area of the rectangular pyramid is approximately 397.37mm^2.