The surface area of the triangular prism will be 132square cm.
What is the surface area of a triangular prism?
Let h be the height and b be the base of the triangle.
Let L₁, L₂, and L₃ be the length and W be the width of the rectangle.
Then the surface area of the triangular prism will be
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = h x b + (L₁ + L₂ + L₃) x W
The right triangular prism is shown.
The third side of the right triangle will be
L₁² = 4² + 3²
L₁² = 16 + 9
L₁² = 25
L₁ = 5
Then the surface area of the triangular prism will be
Surface area = 3 x 4 + (3 + 4 + 5) x 10
Surface area = 12 + 12 x 10
Surface area = 12 + 120
Surface area = 132 square cm
The surface area of the triangular prism will be 132square cm.
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