MATH SOLVE

3 months ago

Q:
# A triangular prism is 20 millimeters long and has a triangular face with a base of 24 millimeters and a height of 16 millimeters. The other two sides of the triangle are each 20 millimeters. What is the surface area of the triangular prism?

Accepted Solution

A:

Answer:The surface area of the prism is [tex]1,664\ mm^{2}[/tex]Step-by-step explanation:we know thatThe surface area of the triangular prism is equal to[tex]SA=2B+PL[/tex]whereB is the area of the triangular faceP is the perimeter of the triangular faceL is the length of the triangular prismFind the area of the triangular face B[tex]B=\frac{1}{2}(24)(16)= 192\ mm^{2}[/tex]Find the perimeter of the triangular face P[tex]P=(24+20+20)= 64\ mm[/tex]we have[tex]L=20\ mm[/tex]substitute the values[tex]SA=2(192)+(64)(20)=1,664\ mm^{2}[/tex]