The total surface area of the triangular prism can be calculated by finding the areas of all the individual faces and adding them together.
First, calculate the areas of the two triangular faces:
1/2 * base * height = 1/2 * 1.5 in * 1.12 in = 0.84 in^2 (for each triangular face)
Then, calculate the area of the three rectangular faces:
2 * length * width = 2 * 6 in * 2 in = 24 in^2 (for each rectangular face)
1 * width * height = 1 * 2 in * 1.12 in = 2.24 in^2 (for the other rectangular face)
Add up all the areas:
2 * 0.84 in^2 + 2 * 24 in^2 + 2.24 in^2 = 1.68 in^2 + 48 in^2 + 2.24 in^2 = 51.92 in^2
Therefore, the total surface area of the triangular prism eraser is 51.92 square inches.
Use the image to answer the question.
An illustration shows a triangular prism with length 6 inches, width 2 inches, perpendicular height of the triangular face 1.12 inches, and side of triangular face 1.5 inches.
What is the total surface area of this eraser? Your answer should have two decimal places.
(1 point)
in.2
try to get it right
11 answers
not even close
Let's try again to calculate the total surface area of the triangular prism eraser:
There are three rectangular faces on the prism:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
There are two triangular faces on the prism, each with a base of 1.5 inches and a height of 1.12 inches:
1. Two faces with dimensions 1/2 * base * height = 1/2 * 1.5 in * 1.12 in = 0.84 in^2
Now, let's calculate the total surface area by adding up all the areas:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 0.84 in^2 (triangular faces) = 27.84 in^2
Therefore, the total surface area of the triangular prism eraser is 27.84 square inches.
There are three rectangular faces on the prism:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
There are two triangular faces on the prism, each with a base of 1.5 inches and a height of 1.12 inches:
1. Two faces with dimensions 1/2 * base * height = 1/2 * 1.5 in * 1.12 in = 0.84 in^2
Now, let's calculate the total surface area by adding up all the areas:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 0.84 in^2 (triangular faces) = 27.84 in^2
Therefore, the total surface area of the triangular prism eraser is 27.84 square inches.
nope
Let's double-check the calculations for the surface area of the triangular prism eraser:
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 1.68 in^2 (triangular faces) = 28.68 in^2
Therefore, the correct total surface area of the triangular prism eraser is 28.68 square inches.
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 1.68 in^2 (triangular faces) = 28.68 in^2
Therefore, the correct total surface area of the triangular prism eraser is 28.68 square inches.
thats wrong
Let's re-calculate the surface area of the triangular prism eraser based on the given dimensions:
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (2 rectangular faces) + 3 in^2 (1 rectangular face) + 1.68 in^2 (2 triangular faces) = 28.68 in^2
Therefore, the total surface area of the triangular prism eraser is 28.68 square inches.
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (2 rectangular faces) + 3 in^2 (1 rectangular face) + 1.68 in^2 (2 triangular faces) = 28.68 in^2
Therefore, the total surface area of the triangular prism eraser is 28.68 square inches.
tell me the correct answer
The correct total surface area of the triangular prism eraser is 34.32 square inches.
no its not
I apologize for the errors in my previous responses. Let's calculate the total surface area of the triangular prism eraser again:
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 1.68 in^2 (triangular faces) = 28.68 in^2
Therefore, the total surface area of the triangular prism eraser is 28.68 square inches. Thank you for your patience.
Rectangular Faces:
1. Two faces with dimensions 6 inches by 2 inches: 2 * (6 in * 2 in) = 24 in^2
2. One face with dimensions 1.5 inches by 2 inches: 1.5 in * 2 in = 3 in^2
Triangular Faces:
1. Two faces with base 1.5 inches and height 1.12 inches: 2 * (1/2 * base * height) = 2 * (1/2 * 1.5 in * 1.12 in) = 1.68 in^2
Total Surface Area:
24 in^2 (rectangular faces) + 3 in^2 (rectangular face) + 1.68 in^2 (triangular faces) = 28.68 in^2
Therefore, the total surface area of the triangular prism eraser is 28.68 square inches. Thank you for your patience.