Question
Using a net of the prism 7mm, 10mm, 8 mm, 6mm what is its surface area?
Answers
GPT 3.5
To find the surface area of a prism, we need to calculate the area of each of its faces and then add them all together.
The prism has 2 triangular faces and 3 rectangular faces.
The triangular faces have a base of 8mm and a height of 6mm:
Area of one triangle = 1/2 * base * height = 1/2 * 8mm * 6mm = 24 mm^2
There are 2 triangular faces, so the total area of the triangular faces = 2 * 24 mm^2 = 48 mm^2
The rectangular faces have dimensions of 7mm x 10mm, 8mm x 10mm, and 6mm x 7mm:
Area of the first rectangular face = length * width = 7mm * 10mm = 70 mm^2
Area of the second rectangular face = 8mm * 10mm = 80 mm^2
Area of the third rectangular face = 6mm * 7mm = 42 mm^2
Total area of the rectangular faces = 70 mm^2 + 80 mm^2 + 42 mm^2 = 192 mm^2
Therefore, the total surface area of the prism is:
48 mm^2 (triangular faces) + 192 mm^2 (rectangular faces) = 240 mm^2
So, the surface area of the prism is 240 mm^2.
The prism has 2 triangular faces and 3 rectangular faces.
The triangular faces have a base of 8mm and a height of 6mm:
Area of one triangle = 1/2 * base * height = 1/2 * 8mm * 6mm = 24 mm^2
There are 2 triangular faces, so the total area of the triangular faces = 2 * 24 mm^2 = 48 mm^2
The rectangular faces have dimensions of 7mm x 10mm, 8mm x 10mm, and 6mm x 7mm:
Area of the first rectangular face = length * width = 7mm * 10mm = 70 mm^2
Area of the second rectangular face = 8mm * 10mm = 80 mm^2
Area of the third rectangular face = 6mm * 7mm = 42 mm^2
Total area of the rectangular faces = 70 mm^2 + 80 mm^2 + 42 mm^2 = 192 mm^2
Therefore, the total surface area of the prism is:
48 mm^2 (triangular faces) + 192 mm^2 (rectangular faces) = 240 mm^2
So, the surface area of the prism is 240 mm^2.