The surface area of the triangular prism is 116 cm²
How to find the surface are of the triangular prism?
The surface area of the triangular prism is the sum of the area of the whole sides.
Therefore, the triangular prism has 3 rectangular sides and 2 triangular sides.
area of the rectangle = lw
where
Therefore,
area of the rectangle 1 = 7 × 4
area of the rectangle 1 = 28 cm²
area of the rectangle 2 = 7 × 4 = 28 cm²
area of the rectangle 3 = 6 × 7 = 42 cm²
Therefore,
area of a triangle = 1 / 2 bh
area of a triangle 1 = 1 / 2 × 6 × 3 = 18 / 2 = 9 cm²
area of a triangle 2 = 1 / 2 × 6 × 3 = 18 / 2 = 9 cm²
Therefore,
surface area of the triangular prism = 42 + 28 + 28 + 9 + 9 = 116 cm²
learn more on surface area here: https://brainly.com/question/16765719
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