Answer:
The surface area of the triangular prism is 24 mi².
Step-by-step explanation:
A surface area is the sum of the areas of all faces on a 3D shape.
A triangular prism has 5 faces consisting of three rectangular sides and two triangular faces.
To find the surface area of the rectangular sides, you multiply the length by the height.
5x1=5
4x1=4
3x1=3
5+4+3=12
the surface area of the rectangular sides is 12 mi²
To find the surface area of the triangular faces, you can use the formula, A=1/2bh, where A is the surface area, b is the base, and h is the height.
A=1/2 · 3(base) · 4(height)
Since there are two triangular sides you multiply this by 2, which cancels out the 1/2 since 1/2 x 2 = 1.
A = 3 · 4
A = 12
the surface area of the triangular faces is 12 mi²
Add up the total surface area of the rectangular sides and triangular faces.
12 + 12 = 24
Hope this helps ;D
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