230k views
2 votes
A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.

A block of wood has the shape of a triangular prism. The bases are right triangles-example-1
User KGee
by
5.5k points

1 Answer

6 votes

Answer:

Explanation:

Area Triangles

Area = 1/2 b * h

In a right triangle the two smaller sides are used to find the area

A = 1/2 6 * 4.5

A = 1/2 * 27

A = 13.5

But there are 2 of them so that the area = 2* 13.5 = 27

Area Front side

Area = L * w

L = 13

w = 6

Area = 13 * 6

Area = 78

Area Back side

Area = L * W

Area = 4.5 * 13

Area = 58.5

Bottom Area

Area = L * W

L = 13

W = 7.5

Area = 13 * 7.5

Area = 97.5

Total Area = 58.5 + 78 + 27 + 97.5

Total Area = 163.5 + 97.5

Total Area = 261

User Kirill Ermolov
by
5.3k points