Surface Area of Rectangular Pyramids Practice QAs
1 12ft
2 8ft
3 top = apex
right side = slant height
left side = edge
bottom = base
center = face
4 326mm2
5 476.85 ft2
npp
6. Calculate the surface area of a rectangular pyramid with a base length of 5 inches, base width of 3 inches, and a slant height of 8 inches.
First, calculate the area of the base:
Base Area = Length x Width
Base Area = 5 inches x 3 inches
Base Area = 15 square inches
Now, calculate the area of each face triangle:
Face Triangle Area = (1/2) x Base x Height
Face Triangle Area = (1/2) x 5 inches x 8 inches
Face Triangle Area = 20 square inches
There are 4 face triangles, so the total face area is:
Total Face Area = 4 x 20 square inches
Total Face Area = 80 square inches
Finally, calculate the total surface area:
Surface Area = Base Area + Total Face Area
Surface Area = 15 square inches + 80 square inches
Surface Area = 95 square inches
The surface area of the rectangular pyramid is 95 square inches.