Question

What is the surface area of the rectangular pyramid with 15, 12, 8, 10

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

10 L, 8w, 15 sh, 12h, What is the surface area of the rectangular pyramid

Answer 3

[AI-generated answer — Bot GPT 3.5]

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.