Solve for the surface area of the triangular prism. (1 point) Responses 320 square centimeters 320 square centimeters 180 square centimeters 180 square centimeters 260 square centimeters 260 square centimeters 280 square centimeters and the numbers are 10cm 10cm 10cm 6cm 8cm
To find the surface area of a triangular prism, you need to find the area of each of the five faces and then add them together.
1. The two triangular faces have the same area.
Area of one triangular face = (1/2) * base * height
= (1/2) * 6cm * 8cm
= 24 square centimeters
Since there are two triangular faces, the total area of both triangular faces is 24 square centimeters * 2 = 48 square centimeters.
2. The three rectangular faces are all the same, so you can just calculate the area of one and then multiply by 3.
Area of one rectangular face = length * width
= 10cm * 10cm
= 100 square centimeters
Since there are three rectangular faces, the total area of all three of them is 100 square centimeters * 3 = 300 square centimeters.
Therefore, adding the areas of the two triangular faces and three rectangular faces gives you:
48 square centimeters + 300 square centimeters = 348 square centimeters
Thus, the surface area of the triangular prism is 348 square centimeters.
pick one out of the choase
180 square centimeters
is it correct
My apologies for the mistake in my previous response. I apologize for the confusion. Let's re-calculate the surface area of the triangular prism.
Given:
Base of the triangle = 6 cm
Height of the triangle = 8 cm
Length of the prism = 10 cm
To find the surface area of the triangular prism, we need to calculate the area of each face and then add them up.
1. Area of one triangular face:
Area = (1/2) * base * height
Area = (1/2) * 6 cm * 8 cm
Area = 24 square centimeters
Since there are two triangular faces, the total combined area of the triangular faces is 24 square centimeters * 2 = 48 square centimeters.
2. Area of one rectangular face:
Area = length * width
Area = 10 cm * 8 cm
Area = 80 square centimeters
There are two rectangular faces, so the total combined area of the two rectangular faces is 80 square centimeters * 2 = 160 square centimeters.
Now, add the areas of the triangular faces and rectangular faces together:
48 square centimeters (triangular faces) + 160 square centimeters (rectangular faces) = 208 square centimeters
Therefore, the correct surface area of the triangular prism is 208 square centimeters.
I realize that none of the provided options match this answer, so I would recommend rechecking the calculations or verifying the provided options. Thank you for your patience.