Answer:
Surface area = 184 cm²
Volume = 120 cm³
Step-by-step explanation:
1) Formula to find the surface area of a triangular prism is:
Surface area = ( Areas of the 3 rectangles) + ( Area of the 2 triangles)
Let us solve it now.
Surface area = ( Areas of the 3 rectangles) + ( Area of the 2 triangles)
= ( 10 × 6 + 10 × 5 + 10 × 5 )cm² + ( 2 × 1/2 × 6 × 4 ) cm²
= ( 60 + 50 + 50 ) cm² + 24 cm²
= 160 cm² + 24 cm²
= 184 cm²
2) Formula to find the volume of the triangular prism is:
Volume = Area of the cross section × length
Let us solve now.
Volume = Area of the cross-section ( area of the triangle ) × length
= 1/2 × b × h × l
= 1/2 × 6 × 4 × 10
= 120 cm³
