First, we need to find the area of the triangular face.
The area of a triangle can be calculated using the formula:
Area = 1/2 * base * height
In this case, the base of the triangle is 11 centimeters and the height is 4 centimeters.
Area of the triangular face = 1/2 * 11 * 4 = 22 square centimeters
Next, we need to find the area of the two rectangular faces.
The area of a rectangle can be calculated using the formula:
Area = length * width
Since there are two rectangular faces, we need to calculate the area of both.
Area of one rectangular face = 11 * 5 = 55 square centimeters
Area of both rectangular faces = 2 * 55 = 110 square centimeters
Finally, we calculate the total surface area of the triangular prism by adding the areas of the three faces:
Total surface area = area of triangular face + area of both rectangular faces
Total surface area = 22 + 110
Total surface area = 132 square centimeters
Therefore, the surface area of the triangular prism is 132 square centimeters.
use the image to answer the question.
An illustration shows a triangular prism. The front triangular face is visible. The right rectangular face is visible. The visible rectangular face has a width of 5 centimeters and length of 11 centimeters. The sides and edges that are not visible are indicated by dashed lines. The legs of the triangular face are labeled 3 centimeters and 4 centimeters. The hypotenuse shares the same label as the width of the visible rectangular face.
what is the surface area of the triangular prism?
__ square centimeres
7 answers
you sure?
Let's correct the calculations and check again.
The area of the triangular face is given by 1/2 * base * height, which is 1/2 * 11 * 4 = 22 square centimeters.
The area of each rectangular face is length * width, so one face is 11 * 5 = 55 square centimeters. Since there are two rectangular faces, the total area of both faces is 2 * 55 = 110 square centimeters.
To find the total surface area of the triangular prism, we add the areas of the triangular face and the two rectangular faces: 22 + 110 = 132 square centimeters.
Therefore, the correct surface area of the triangular prism is 132 square centimeters.
The area of the triangular face is given by 1/2 * base * height, which is 1/2 * 11 * 4 = 22 square centimeters.
The area of each rectangular face is length * width, so one face is 11 * 5 = 55 square centimeters. Since there are two rectangular faces, the total area of both faces is 2 * 55 = 110 square centimeters.
To find the total surface area of the triangular prism, we add the areas of the triangular face and the two rectangular faces: 22 + 110 = 132 square centimeters.
Therefore, the correct surface area of the triangular prism is 132 square centimeters.
use the image described to answer the question.
An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.
S.A = __ cm^2
An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.
S.A = __ cm^2
To find the surface area of the triangular prism and determine how much wrapping paper is needed to wrap the toy, we need to calculate the total surface area of all the faces.
The surface area of a triangular prism can be calculated by summing the areas of all its faces, which includes two triangular faces and three rectangular faces.
1. **Triangular Face 1:**
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
For the first triangular face with base = 27.9 cm and height = 5.1 cm:
Area = 1/2 * 27.9 * 5.1 = 71.145 square cm.
2. **Triangular Face 2:**
Since the triangular prism has two triangular faces, both will have the same area.
Area = 71.145 square cm.
3. **Rectangular Faces:**
The rectangular faces of the prism have dimensions 30.5 cm by 27.9 cm.
The area of one rectangular face = length * width = 30.5 * 27.9 = 850.95 square cm.
The total area of three rectangular faces = 3 * 850.95 = 2552.85 square cm.
**Total Surface Area:**
Summing all areas:
Total Surface Area = 2 * (Area of Triangular Face) + Total Area of Rectangular Faces
Total Surface Area = 2 * 71.145 + 2552.85
Total Surface Area = 142.29 + 2552.85
Total Surface Area = 2695.14 square cm.
Therefore, the total surface area of wrapping paper needed to wrap the toy in the triangular prism-shaped container is approximately 2695 square centimeters.
The surface area of a triangular prism can be calculated by summing the areas of all its faces, which includes two triangular faces and three rectangular faces.
1. **Triangular Face 1:**
The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
For the first triangular face with base = 27.9 cm and height = 5.1 cm:
Area = 1/2 * 27.9 * 5.1 = 71.145 square cm.
2. **Triangular Face 2:**
Since the triangular prism has two triangular faces, both will have the same area.
Area = 71.145 square cm.
3. **Rectangular Faces:**
The rectangular faces of the prism have dimensions 30.5 cm by 27.9 cm.
The area of one rectangular face = length * width = 30.5 * 27.9 = 850.95 square cm.
The total area of three rectangular faces = 3 * 850.95 = 2552.85 square cm.
**Total Surface Area:**
Summing all areas:
Total Surface Area = 2 * (Area of Triangular Face) + Total Area of Rectangular Faces
Total Surface Area = 2 * 71.145 + 2552.85
Total Surface Area = 142.29 + 2552.85
Total Surface Area = 2695.14 square cm.
Therefore, the total surface area of wrapping paper needed to wrap the toy in the triangular prism-shaped container is approximately 2695 square centimeters.
you sure
Let's correct the calculations and check again.
1. **Triangular Face 1:**
The area of the first triangular face with base = 27.9 cm and height = 5.1 cm is:
Area = 1/2 * base * height = 1/2 * 27.9 * 5.1 = 71.145 square cm
2. **Triangular Face 2:**
Since the triangular prism has two triangular faces, both will have the same area:
Area = 71.145 square cm
3. **Rectangular Faces:**
The area of one rectangular face can be calculated as length * width:
Area of one rectangular face = 30.5 * 27.9 = 851.95 square cm
Since there are three rectangular faces:
Total area of three rectangular faces = 3 * 851.95 = 2555.85 square cm
**Total Surface Area:**
Total surface area = 2 * (Area of Triangular Face) + Total Area of Rectangular Faces
Total surface area = 2 * 71.145 + 2555.85
Total surface area = 142.29 + 2555.85
Total surface area = 2698.14 square cm
Therefore, the total surface area of wrapping paper needed to wrap the toy in the triangular prism-shaped container is approximately 2698 square centimeters. Thank you for your patience.
1. **Triangular Face 1:**
The area of the first triangular face with base = 27.9 cm and height = 5.1 cm is:
Area = 1/2 * base * height = 1/2 * 27.9 * 5.1 = 71.145 square cm
2. **Triangular Face 2:**
Since the triangular prism has two triangular faces, both will have the same area:
Area = 71.145 square cm
3. **Rectangular Faces:**
The area of one rectangular face can be calculated as length * width:
Area of one rectangular face = 30.5 * 27.9 = 851.95 square cm
Since there are three rectangular faces:
Total area of three rectangular faces = 3 * 851.95 = 2555.85 square cm
**Total Surface Area:**
Total surface area = 2 * (Area of Triangular Face) + Total Area of Rectangular Faces
Total surface area = 2 * 71.145 + 2555.85
Total surface area = 142.29 + 2555.85
Total surface area = 2698.14 square cm
Therefore, the total surface area of wrapping paper needed to wrap the toy in the triangular prism-shaped container is approximately 2698 square centimeters. Thank you for your patience.
1 answer