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14 November, 06:39

A door wedge is 5 cm tall. Its has 3.7 cm high triangular bases with 2 congruent 5 cm sides and a 4 cm side. What is its surface area?

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  1. 14 November, 07:02
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    Surface Area = 84.8 cm²

    Step-by-step explanation:

    This wedge is simply a triangular prism.

    We are given;

    Height of door wedge; H = 5 cm

    Height of triangular base; h = 3.7 cm

    Congruent sides; S2 = S3 = 5cm

    base of triangular side; b = S1 = 4 cm

    Now, formula for surface area of triangular prism is;

    SA = bh + (s1 + s2 + s3) H

    Thus, plugging in the relevant values, we have;

    SA = (4 x 3.7) + (4 + 5 + 5) 5

    SA = 14.8 + 70

    SA = 84.8 cm²
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