Question

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?

Answer 1

Surface Area = 84.8 cm²

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