The total surface area of the triangular prism is calculated by finding the area of all the faces and adding them up.
First, find the area of the two triangular faces:
Area = (1/2) * base * height
Area = (1/2) * 1.5 * 1.12
Area = 0.84 in^2 for each of the two triangular faces
Next, find the area of the three rectangular faces:
Area = length * width
Area = 6 * 2 = 12 in^2 for each of the three rectangular faces
Now, add up all the areas:
Total surface area = 2 * 0.84 + 3 * 12
Total surface area = 1.68 + 36
Total surface area = 37.68 in^2
Therefore, the total surface area of this eraser is 37.68 in^2.
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
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3 answers
not right
Apologies for the mistake. Let's correct the calculation.
First, find the area of the two triangular faces:
Area = (1/2) * base * height
Area = (1/2) * 1.5 * 1.12
Area = 0.84 in^2 for each of the two triangular faces
Next, find the area of the three rectangular faces:
Top and bottom faces = length * width
Top and bottom faces = 6 * 2 = 12 in^2 for each of the two rectangular faces
Side face = base * height
Side face = 1.5 * 6 = 9 in^2 for the side rectangular faces
Now, add up all the areas:
Total surface area = 2 * 0.84 + 2 * 12 + 9
Total surface area = 1.68 + 24 + 9
Total surface area = 34.68 in^2
Therefore, the correct total surface area of this eraser is 34.68 in^2.
First, find the area of the two triangular faces:
Area = (1/2) * base * height
Area = (1/2) * 1.5 * 1.12
Area = 0.84 in^2 for each of the two triangular faces
Next, find the area of the three rectangular faces:
Top and bottom faces = length * width
Top and bottom faces = 6 * 2 = 12 in^2 for each of the two rectangular faces
Side face = base * height
Side face = 1.5 * 6 = 9 in^2 for the side rectangular faces
Now, add up all the areas:
Total surface area = 2 * 0.84 + 2 * 12 + 9
Total surface area = 1.68 + 24 + 9
Total surface area = 34.68 in^2
Therefore, the correct total surface area of this eraser is 34.68 in^2.