A net of a rectangular pyramid is shown. What is the surface area, in square meters, of the rectangular pyramid?
(1 point)
m2
Skip to navigation
page 3 of 3
Without seeing the net of the rectangular pyramid, it is impossible to calculate the surface area. The surface area of a rectangular pyramid can be calculated by finding the area of the base (length x width) and adding the area of the four triangular faces (1/2 x base x slant height). Once the measurements of the base and slant height are provided, the surface area can be calculated.
3m at the top 4m on the right side and 8 on the bottom 6 in the middle
To calculate the surface area of the rectangular pyramid, we need to find the area of the base and the area of the four triangular faces.
1. Area of the base:
Length = 8m
Width = 6m
Area = Length x Width = 8m x 6m = 48 square meters
2. Area of the triangular faces:
a) Front face:
Base = 6m (width of the base)
Height = 3m (from the top to the midpoint in the front)
Area = 1/2 x base x height = 1/2 x 6m x 3m = 9 square meters
b) Back face:
The back face is the same as the front face, so the area is also 9 square meters.
c) Left face:
Base = 4m (distance between top and midpoint)
Height = 3m
Area = 1/2 x base x height = 1/2 x 4m x 3m = 6 square meters
d) Right face:
The right face is also 6 square meters.
3. Total surface area:
Surface Area = Area of Base + Sum of Areas of Triangular Faces
Surface Area = 48 + 9 + 9 + 6 + 6 = 78 square meters
Therefore, the surface area of the rectangular pyramid is 78 square meters.