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### High School Mathematics4.41 Length of the Edges of Triangular Prism

 Right Prism: A prism whose bases are perpendicular to the lateral edges and all lateral faces are rectangles is called a right prism. A prism is named according to the shape of its base. Example: The sides of a triangular prism are 14cm., 18cm. and 22cm. its height is 21cm. Find the total length of its edges. Solution: Sum of the length of edges (S) = n * h + 2s Where n = The number of sides of the base. h = height. s = Perimeter of the base. S = Length of the edges. Perimeter of the base (s) = 14 + 18 + 22 = 54cm. Therefore S = n*h + 2s. S = 3*21 + 2*54 S = 63 + 108 S = 171cm. Directions: Solve the following problems. Also write at least 5 examples of your own.
 Q 1: The sides of a triangular prism are 23cm., 25cm. and 27cm. its height is 15cm. Find the total length of its edges.195cm.None of these175cm.185cm. Q 2: The sides of a triangular prism are 25cm., 27cm. and 29cm. its height is 21cm. Find the total length of its edges.205cm.235cm.215cm.225cm. Q 3: The sides of a triangular prism are 17cm., 19cm. and 21cm. its height is 13cm. Find the total length of its edges.157cvm.153cm.163cm.167cm. Q 4: The sides of a triangular prism are 11cm., 14cm. and 17cm. its height is 15cm. Find the total length of its edges.124cm.126cm.129cm.122cm. Q 5: The sides of a triangular prism are 12cm., 16cm. and 20cm. its height is 15cm. Find the total length of its edges.151cm.141cm.131cm.None of these Q 6: The sides of a triangular prism are 17cm., 19cm. and 21cm. its height is 15cm. Find the total length of its edges.159cm.169cm.163cm.153cm. Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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