what is the surface area of the triangular prism? Round the answer to the nearest tenth.
a triangle with both sides 8cm. down the middle of the triangle is a dotted line which is 6.9 cm There's a square under the triangle and the top line equals 8cm and theres another quare attached to the right side of the square below the triangle, and the side of that square is 6cm
To find the surface area of the triangular prism, we need to find the areas of all the faces and then add them up.
1. Area of the triangular base:
Area = 1/2 * base * height
Area = 1/2 * 8cm * 6.9cm
Area = 27.6 sq. cm
2. Area of the square under the triangle:
Area = side^2
Area = 8cm * 8cm
Area = 64 sq. cm
3. Area of the square attached to the right side of the square below the triangle:
Area = side^2
Area = 6cm * 6cm
Area = 36 sq. cm
Now, we need to add up all the areas:
27.6 sq. cm + 64 sq. cm + 36 sq. cm = 127.6 sq. cm
Therefore, the surface area of the triangular prism is approximately 127.6 sq. cm.