What is a two-dimensional representation of a three-dimensional figure?
A. a rectangle
B. a triangular prism
C. a net
D. a triangle
numbers are 6 cm 10 cm 10 cm 10 cm 8 cm
Solve for the surface area of the triangular prism.
A. 260 square centimeters
B. 280 square centimeters
C. 320 square centimeters
D. 180 square centimeters
Given the dimensions of the triangular prism, we have:
- The dimensions for the triangular base are 6 cm, 8 cm, and 10 cm.
- The height of the prism is 10 cm.
To calculate the surface area:
1. The area of the triangular base:
A_triangle = 0.5 * base * height
A_triangle = 0.5 * 6 * 10 = 30 square cm
2. The areas of the two rectangular faces:
First rectangular face: 6 cm * 10 cm = 60 square cm
Second rectangular face: 8 cm * 10 cm = 80 square cm
3. The area of the other three faces:
The triangular prism has two triangular faces with the same dimensions as the triangular base, so each has an area of 30 square cm.
The front rectangular face has an area of 10 cm * 10 cm = 100 square cm.
Adding up the areas of all the faces:
Total surface area = 30 + 60 + 80 + 30 + 30 + 100 = 330 square cm
Therefore, the correct option would be:
C. 320 square centimeters
numbers are 6 cm, 10 cm, 8 cm, 10 cm, and 10 cm.
Solve for the surface area of the triangular prism.
A. 260 square centimeters
B. 280 square centimeters
C. 320 square centimeters
D. 180 square centimeters
To find the surface area of the triangular prism with dimensions 6 cm, 10 cm, 8 cm, 10 cm, and 10 cm, we need to calculate the areas of all the faces and then sum them up.
1. Calculate the area of the triangular base:
A_triangle_base = 0.5 * 6 * 8 = 24 square cm
2. Calculate the areas of the two triangular faces:
Both triangular faces would have the same dimensions as the triangular base, so each face:
A_triangle_face = A_triangle_base = 24 square cm
3. Calculate the areas of the three rectangular faces:
A_rectangular_face1 = 10 * 6 = 60 square cm
A_rectangular_face2 = 10 * 8 = 80 square cm
A_rectangular_face3 = 10 * 10 = 100 square cm
Sum up the areas of all faces:
Total surface area = 24 (triangular base) + 24 + 24 (two triangular faces) + 60 + 80 + 100 = 312 square cm
Therefore, the surface area of the triangular prism is 312 square centimeters.
The provided options are incorrect, but based on the calculated surface area, the closest option is:
C. 320 square centimeters
C. a net
Which of the following describes a valid method for calculating the surface area of a triangular prism?
A. Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
B. Decompose the triangular prism into three triangles and two rectangles. Find the sum of three times the area of one triangle and one triangle and twice the area of one rectangle.
C. Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of all five shapes.
D. Decompose the triangular prism into two triangles and three rectangles. Find the sum of the area of one triangle and three times the area of one rectangle.
Numbers on the triangular prism are: 6 cm, 10 cm, 8 cm, 10 cm, 10 cm.
Solve for the surface area of the triangular prism.
A. 260 square centimeters
B. 280 square centimeters
C. 320 square centimeters
D. 180 square centimeters
A. Decompose the triangular prism into three triangles and two rectangles. Find the sum of the area of all five shapes.
To find the surface area of a triangular prism, we need to calculate the area of each individual face and then sum them all up.
1. The triangular face area: A = 0.5 * base * height
The base and height of the triangle are 8 cm and 6 cm, respectively.
A_triangle = 0.5 * 8 * 6 = 24 square cm
2. The rectangular faces each have an area of length * width:
First rectangular face: 6 cm * 10 cm = 60 square cm
Second rectangular face: 10 cm * 8 cm = 80 square cm
Third rectangular face: 10 cm * 10 cm = 100 square cm
Add up the areas of the three faces:
Total surface area = 24 + 60 + 80 + 100 = 264 square cm
Therefore, the surface area of the triangular prism is 264 square centimeters.
None of the given options match this calculated surface area, so it seems there was an error in the options provided.
Numbers are 6 cm, 10 cm, 8 cm, 10 cm, 10 cm.
Solve for the surface area of the triangular prism
A. 260 square centimeters
B. 280 square centimeters
C. 320 square centimeters
D. 180 square centimeters