To find the surface area of a rectangular pyramid, we need to calculate the areas of each of the faces and then add them together.
First, let's calculate the base area. The base of the pyramid is a rectangle with a length of 13 cm and a width of 11 cm, so the area of the base is 13 cm x 11 cm = 143 cm².
Next, let's calculate the areas of the four triangular faces. Each triangular face has a base equal to the width of the base rectangle and a height equal to the height of the pyramid. So, the area of each triangular face is (1/2) x 11 cm x 8 cm = 44 cm².
Since there are four triangular faces, the total area of the triangular faces is 4 x 44 cm² = 176 cm².
Now, let's calculate the total surface area by summing the base area and the areas of the triangular faces:
Total surface area = base area + triangular faces area
Total surface area = 143 cm² + 176 cm²
Total surface area = 319 cm²
Therefore, the surface area of the rectangular pyramid is 319 cm².
Find the surface area of a rectangular pyramid with the measurements length 13 cm width 11 cm height 8 cm
5 answers
Wrong answer try again
Apologies for the incorrect response earlier. Let's calculate the surface area of the rectangular pyramid with the correct measurements.
The rectangular pyramid has a base in the shape of a rectangle with a length of 13 cm and a width of 11 cm. The surface area of the base is given by length × width, which is 13 cm × 11 cm = 143 cm².
Next, let's calculate the area of each triangular face. Each triangular face has a base equal to the width of the base rectangle (11 cm) and a height equal to the height of the pyramid (8 cm). So, the area of each triangular face is (1/2) × base × height = (1/2) × 11 cm × 8 cm = 44 cm².
Since there are four triangular faces, the total surface area of the triangular faces is 4 × 44 cm² = 176 cm².
Finally, let's calculate the total surface area by adding the base surface area and the surface area of the triangular faces:
Total surface area = base area + triangular faces area
Total surface area = 143 cm² + 176 cm²
Total surface area = 319 cm²
Therefore, the surface area of the rectangular pyramid with the given measurements is 319 cm².
The rectangular pyramid has a base in the shape of a rectangle with a length of 13 cm and a width of 11 cm. The surface area of the base is given by length × width, which is 13 cm × 11 cm = 143 cm².
Next, let's calculate the area of each triangular face. Each triangular face has a base equal to the width of the base rectangle (11 cm) and a height equal to the height of the pyramid (8 cm). So, the area of each triangular face is (1/2) × base × height = (1/2) × 11 cm × 8 cm = 44 cm².
Since there are four triangular faces, the total surface area of the triangular faces is 4 × 44 cm² = 176 cm².
Finally, let's calculate the total surface area by adding the base surface area and the surface area of the triangular faces:
Total surface area = base area + triangular faces area
Total surface area = 143 cm² + 176 cm²
Total surface area = 319 cm²
Therefore, the surface area of the rectangular pyramid with the given measurements is 319 cm².
Wrong answer please try again
Apologies for the incorrect response earlier. Let's calculate the surface area of the rectangular pyramid with the correct measurements.
The surface area of a rectangular pyramid is given by the sum of the area of the base and the areas of the four triangular faces.
The base of the pyramid is a rectangle with a length of 13 cm and a width of 11 cm. So the area of the base is 13 cm * 11 cm = 143 cm².
Now, let's calculate the area of each triangular face. Each triangular face has a base equal to the width of the base rectangle and a height equal to the height of the pyramid.
The width of the base rectangle is 11 cm, and the height of the pyramid is 8 cm. So the area of each triangular face is (1/2) * 11 cm * 8 cm = 44 cm².
Since there are four triangular faces, the total area of the triangular faces is 4 * 44 cm² = 176 cm².
Finally, let's calculate the total surface area by adding the area of the base and the areas of the triangular faces:
Total surface area = Base area + Triangular face areas
Total surface area = 143 cm² + 176 cm²
Total surface area = 319 cm²
Therefore, the surface area of the rectangular pyramid with the given measurements is 319 cm².
The surface area of a rectangular pyramid is given by the sum of the area of the base and the areas of the four triangular faces.
The base of the pyramid is a rectangle with a length of 13 cm and a width of 11 cm. So the area of the base is 13 cm * 11 cm = 143 cm².
Now, let's calculate the area of each triangular face. Each triangular face has a base equal to the width of the base rectangle and a height equal to the height of the pyramid.
The width of the base rectangle is 11 cm, and the height of the pyramid is 8 cm. So the area of each triangular face is (1/2) * 11 cm * 8 cm = 44 cm².
Since there are four triangular faces, the total area of the triangular faces is 4 * 44 cm² = 176 cm².
Finally, let's calculate the total surface area by adding the area of the base and the areas of the triangular faces:
Total surface area = Base area + Triangular face areas
Total surface area = 143 cm² + 176 cm²
Total surface area = 319 cm²
Therefore, the surface area of the rectangular pyramid with the given measurements is 319 cm².