To calculate the surface area of a rectangular pyramid, we need to find the area of the base and add the area of the four triangular faces.
Given dimensions:
Length = 15
Width = 12
Height = 8
Slant height = 10
Area of the base (rectangle) = Length x Width
Area of the base = 15 x 12 = 180 square units
Calculate the area of each triangular face:
Area of one triangular face = 0.5 x Base x Height
Area of one triangular face = 0.5 x 15 x 10 = 75 square units
There are four triangular faces in a rectangular pyramid, so the total area of all the triangular faces = 4 x 75 = 300 square units
Total surface area of the rectangular pyramid = Area of base + Area of all triangular faces
Total surface area = 180 + 300 = 480 square units
Therefore, the surface area of the rectangular pyramid with dimensions 15, 12, 8, and 10 is 480 square units.
What is the surface area of the rectangular pyramid with 15, 12, 8, 10
3 answers
10 L, 8w, 15 sh, 12h, What is the surface area of the rectangular pyramid
To calculate the surface area of a rectangular pyramid, we first need to find the area of the base and then add the areas of the four triangular faces.
Given dimensions:
Length = 10
Width = 8
Slant height = 15
Height = 12
1. Calculate the area of the base (rectangle):
Area of the base = Length x Width
Area of the base = 10 x 8 = 80 square units
2. Calculate the areas of the four triangular faces:
Each triangular face comprises a base and a height forming a right triangle based on the slant height.
a. Calculate the area of one triangular face:
Area of one triangular face = 0.5 x Base x Height
Area of one triangular face = 0.5 x 10 x 15 = 75 square units
b. There are four triangular faces in a rectangular pyramid, so the total area of all the triangular faces:
Total area of all triangular faces = 4 x 75 = 300 square units
3. Calculate the total surface area of the rectangular pyramid:
Total surface area = Area of base + Area of all triangular faces
Total surface area = 80 + 300 = 380 square units
Therefore, the surface area of the rectangular pyramid with dimensions 10, 8, 15, and 12 is 380 square units.
Given dimensions:
Length = 10
Width = 8
Slant height = 15
Height = 12
1. Calculate the area of the base (rectangle):
Area of the base = Length x Width
Area of the base = 10 x 8 = 80 square units
2. Calculate the areas of the four triangular faces:
Each triangular face comprises a base and a height forming a right triangle based on the slant height.
a. Calculate the area of one triangular face:
Area of one triangular face = 0.5 x Base x Height
Area of one triangular face = 0.5 x 10 x 15 = 75 square units
b. There are four triangular faces in a rectangular pyramid, so the total area of all the triangular faces:
Total area of all triangular faces = 4 x 75 = 300 square units
3. Calculate the total surface area of the rectangular pyramid:
Total surface area = Area of base + Area of all triangular faces
Total surface area = 80 + 300 = 380 square units
Therefore, the surface area of the rectangular pyramid with dimensions 10, 8, 15, and 12 is 380 square units.