use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.
what is the pyramid's height
__ ft.
7 answers
The pyramid's height is 12 feet.
use the image to answer the question.
An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.
what is the pyramids length?
__ft.
An illustration shows a pyramid with a rectangular base of length 8 feet and width 6 feet. The perpendicular height, drawn as a dotted line from the apex to the center of the base, is labeled 12 feet. The sides that are not visible are drawn in dashed lines.
what is the pyramids length?
__ft.
The length of the pyramid would be the same as the length of its base, which is given as 8 feet.
use the image to answer the question.
An illustration shows a pyramid with a rectangular base. The length of the base is 8 millimeters and the width 10 millimeters. The perpendicular heights from the apex to the base length is 12 millimeters and to the base width is 15 millimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
what is the surface area of the rectangular pyramid?
__ mm^2
An illustration shows a pyramid with a rectangular base. The length of the base is 8 millimeters and the width 10 millimeters. The perpendicular heights from the apex to the base length is 12 millimeters and to the base width is 15 millimeters. The perpendicular heights are denoted by two right angle symbols on two of the lateral faces from the apex to the base by dashed lines.
what is the surface area of the rectangular pyramid?
__ mm^2
To find the surface area of a rectangular pyramid, we calculate the sum of the areas of the rectangular base and the four triangular faces.
1. Area of the base = length * width = 8mm * 10mm = 80 mm^2
2. For the triangular faces:
- There are two triangular faces with base 8mm and height 12mm.
- There are two triangular faces with base 10mm and height 15mm.
Area of each triangular face = 1/2 * base * height
Area of the 8x12 triangles = 1/2 * 8mm * 12mm = 48 mm^2
Area of the 10x15 triangles = 1/2 * 10mm * 15mm = 75 mm^2
Adding up all areas:
80 mm^2 (base) + 48 mm^2 (two slant faces) + 48 mm^2 (two slant faces) = 251 mm^2
Therefore, the surface area of the rectangular pyramid is 251 mm^2.
1. Area of the base = length * width = 8mm * 10mm = 80 mm^2
2. For the triangular faces:
- There are two triangular faces with base 8mm and height 12mm.
- There are two triangular faces with base 10mm and height 15mm.
Area of each triangular face = 1/2 * base * height
Area of the 8x12 triangles = 1/2 * 8mm * 12mm = 48 mm^2
Area of the 10x15 triangles = 1/2 * 10mm * 15mm = 75 mm^2
Adding up all areas:
80 mm^2 (base) + 48 mm^2 (two slant faces) + 48 mm^2 (two slant faces) = 251 mm^2
Therefore, the surface area of the rectangular pyramid is 251 mm^2.
thats not right
I apologize for the mistake. Let's correct it.
The surface area of a rectangular pyramid is given by the formula:
Surface Area = base area + (1/2 * perimeter of base * slant height)
1. Base area = length * width = 8mm * 10mm = 80 mm^2
2. Perimeter of the base = 2*(length + width) = 2*(8mm + 10mm) = 36mm
3. Slant height for the face with base length 8mm and height 12mm = sqrt(8^2 + 12^2) = sqrt(64 + 144) = sqrt(208) = 4√13 mm
Slant height for the face with base width 10mm and height 15mm = sqrt(10^2 + 15^2) = sqrt(100 + 225) = sqrt(325) = 5√13 mm
4. Surface Area = 80 + (1/2 * 36 * (4√13 + 5√13))
Surface Area = 80 + (18 * 9√13)
Surface Area = 80 + 162√13 mm^2
Therefore, the correct surface area of the rectangular pyramid is 80 + 162√13 mm^2.
The surface area of a rectangular pyramid is given by the formula:
Surface Area = base area + (1/2 * perimeter of base * slant height)
1. Base area = length * width = 8mm * 10mm = 80 mm^2
2. Perimeter of the base = 2*(length + width) = 2*(8mm + 10mm) = 36mm
3. Slant height for the face with base length 8mm and height 12mm = sqrt(8^2 + 12^2) = sqrt(64 + 144) = sqrt(208) = 4√13 mm
Slant height for the face with base width 10mm and height 15mm = sqrt(10^2 + 15^2) = sqrt(100 + 225) = sqrt(325) = 5√13 mm
4. Surface Area = 80 + (1/2 * 36 * (4√13 + 5√13))
Surface Area = 80 + (18 * 9√13)
Surface Area = 80 + 162√13 mm^2
Therefore, the correct surface area of the rectangular pyramid is 80 + 162√13 mm^2.